From 78dad31ed051ae446f364aa2a43428d4651b5dd4 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 15:19:32 +0700
Subject: [PATCH 01/17] =?UTF-8?q?effect-typing=20engine=20(=CE=B5):=20uses?=
 =?UTF-8?q?of/effectsof=20+=20Uses/Computation/Requires=20+=20=5F=5Fuses?=
 =?UTF-8?q?=5Frule=5F=5F?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Branches off master (ops/ only; #694 touches handlers/llm/ only). Explicit upstream
changes in one reviewable module; final placement noted in the module docstring.
- usesof/effectsof: fold over apply, sibling of typeof/fvsof
- Uses[()] pure opt-out; Computation folds callback args; UndeclaredCallable loud-fail
- Requires/check_requires: value provenance (#664) = usesof over an arg's Term
---
 effectful/ops/effects.py | 264 +++++++++++++++++++++++++++++++++++++++
 tests/test_effects.py    |  68 ++++++++++
 2 files changed, 332 insertions(+)
 create mode 100644 effectful/ops/effects.py
 create mode 100644 tests/test_effects.py

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
new file mode 100644
index 000000000..368473db7
--- /dev/null
+++ b/effectful/ops/effects.py
@@ -0,0 +1,264 @@
+"""Effect-row inference for effectful — the ``ε`` engine.
+
+Sibling of :func:`effectful.ops.semantics.typeof` / :func:`fvsof`: a fold over the
+universal ``apply`` operation that computes which operations a term performs (its
+**effect row**), plus the ``Uses`` / ``Computation`` / ``Requires`` annotations
+(#448, #664) that operations declare and the fold reads.
+
+This branches off ``master``: #694 (the doctest-validation PR) touches only
+``handlers/llm/`` and **never** ``ops/``, so the engine has no dependency on it. The
+LLM integration (an ``ε`` validator at #694's decode stage + tool governance on its
+``tool_types`` seam) is a separate, later follow-up in ``handlers/llm/``.
+
+**Final upstream placement** (kept in one module here to be reviewable without editing
+core files):
+
+======================  =====================================================
+this module             upstream home
+======================  =====================================================
+``usesof`` / ``effectsof``   ``ops/semantics.py``, next to ``typeof`` / ``fvsof``
+``uses_rule``               a method ``Operation.__uses_rule__`` in ``ops/types.py``
+``Uses`` / ``Computation`` / ``Requires``   ``ops/syntax.py``, next to ``Scoped``
+======================  =====================================================
+"""
+
+import collections.abc
+import inspect
+import typing
+from dataclasses import dataclass
+from typing import Annotated, Any
+
+from effectful.internals.runtime import interpreter
+from effectful.ops.semantics import apply, evaluate
+from effectful.ops.types import Annotation, Expr, Operation
+
+__all__ = [
+    "Uses",
+    "Computation",
+    "Requires",
+    "UndeclaredCallable",
+    "uses_rule",
+    "usesof",
+    "effectsof",
+    "requires_rule",
+    "check_requires",
+]
+
+
+# ---------------------------------------------------------------------------
+# Annotations an op declares (read off ``Annotated[T, ...]``)
+# ---------------------------------------------------------------------------
+class Uses:
+    """Effect-row annotation metadata: ``Annotated[T, Uses[op1, op2, ...]]`` on a
+    *return* type. ``Uses[()]`` is the empty row — explicitly pure. Read by
+    :func:`uses_rule`. (Not an :class:`Annotation` subtype: it is plain metadata, not
+    a signature transform.)"""
+
+    __slots__ = ("members",)
+
+    def __class_getitem__(cls, items: Any) -> "Uses":
+        return cls(items if isinstance(items, tuple) else (items,))
+
+    def __init__(self, members: tuple[Any, ...]) -> None:
+        self.members = members
+
+    def __repr__(self) -> str:
+        return f"Uses{list(self.members)!r}"
+
+
+@dataclass(frozen=True)
+class _Computation(Annotation):
+    """``Annotated[Callable[[A], B], Computation]`` on an *argument*: a suspended
+    computation whose effect row joins the op's row when the op runs it. Higher-order
+    combinators (``map``/``filter``/…) mark their callback arg with this instead of the
+    checker hard-coding which ops are higher-order."""
+
+    @classmethod
+    def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
+        # A callable-typed parameter must be classified — Computation (its effects fold)
+        # or Uses[()] (declared not-effectful) — else its effects would be silent. This
+        # is the sound-by-construction gate (mirrors Scoped validating scoping).
+        for name, p in sig.parameters.items():
+            if _is_callable_annotation(p.annotation) and not _has(p.annotation, (_Computation, Uses)):
+                raise TypeError(
+                    f"{name!r}: a callable argument must be declared `Computation` or "
+                    "`Uses[()]` — else its effects would be silently dropped."
+                )
+        return sig
+
+
+#: Singleton marker (data-less, like ``IsRecursive``) — use in ``Annotated[C, Computation]``.
+Computation = _Computation()
+
+
+@dataclass(frozen=True, init=False)
+class Requires(Annotation):
+    """``Annotated[T, Requires(op, ...)]`` on an *argument*: the value's provenance must
+    cover these ops — ``{op,...} ⊆ usesof(arg)``. The precondition dual of ``Uses``
+    (#664)."""
+
+    ops: frozenset[Operation]
+
+    def __init__(self, *ops: Operation) -> None:
+        object.__setattr__(self, "ops", frozenset(ops))
+
+    @classmethod
+    def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
+        ret = sig.return_annotation
+        if typing.get_origin(ret) is Annotated and any(
+            isinstance(a, cls) for a in typing.get_args(ret)[1:]
+        ):
+            raise TypeError("Requires annotates arguments, not return types.")
+        return sig
+
+    def missing(self, arg: Any) -> frozenset[Operation]:
+        """Required ops absent from the argument's provenance — the whole check is one
+        :func:`usesof`."""
+        return self.ops - usesof(arg)
+
+
+class UndeclaredCallable(Exception):
+    """Raised by the fold on a callable argument that is neither ``Computation`` nor
+    ``Uses[()]`` — the checker refuses to guess rather than silently under-approximate."""
+
+
+# ---------------------------------------------------------------------------
+# The per-op rule (upstream: Operation.__uses_rule__, default {self})
+# ---------------------------------------------------------------------------
+def uses_rule(op: Operation) -> frozenset[Operation]:
+    """The effect row an op contributes *itself*: its declared ``Uses[...]`` if the
+    return is annotated, else ``{op}``. (``Computation`` args are folded by
+    :func:`usesof`, not here.)"""
+    declared = _declared_uses(op)
+    return declared if declared is not None else frozenset({op})
+
+
+# ---------------------------------------------------------------------------
+# The fold (upstream: ops/semantics.py, next to typeof/fvsof)
+# ---------------------------------------------------------------------------
+def usesof[S](term: Expr[S]) -> frozenset[Operation]:
+    """Return the effect row of a term: the set of operations it performs. The
+    effect-typing sibling of :func:`typeof` / :func:`fvsof`.
+
+    Each applied op contributes :func:`uses_rule` (default ``{self}``, ``Uses[()]`` =
+    pure). ``Computation``-marked callback args are *entered* so their effects fold too;
+    an undeclared callable arg raises :class:`UndeclaredCallable` (never silent).
+    """
+    used: set[Operation] = set()
+
+    def _update(op: Operation, *args: Any, **kwargs: Any) -> Any:
+        used.update(uses_rule(op))
+        _fold_computation_args(op, args, kwargs)  # enters callbacks; loud on undeclared
+
+    with interpreter({apply: _update}):
+        evaluate(term)
+    return frozenset(used)
+
+
+#: Reads better at effect-typing call sites; same function.
+effectsof = usesof
+
+
+# ---------------------------------------------------------------------------
+# Requires verification (upstream: with usesof, in semantics.py)
+# ---------------------------------------------------------------------------
+def requires_rule(op: Operation, *args: Any, **kwargs: Any) -> dict[str, frozenset[Operation]]:
+    """Per-argument unmet provenance for ``op``: ``{arg_name: missing_ops}``. Empty ==
+    every ``Requires`` on ``op`` is satisfied by the given args."""
+    bound = op.__signature__.bind(*args, **kwargs)
+    bound.apply_defaults()
+    unmet: dict[str, frozenset[Operation]] = {}
+    for name, p in op.__signature__.parameters.items():
+        for anno in _annotations(p.annotation):
+            if isinstance(anno, Requires) and (m := anno.missing(bound.arguments[name])):
+                unmet[name] = m
+    return unmet
+
+
+def check_requires(term: Expr[Any]) -> dict[Operation, dict[str, frozenset[Operation]]]:
+    """Provenance violations in ``term``: ``{op: {arg: missing_ops}}``. Empty == OK.
+    This is #664's "public hook to read a Term's effective row" — one fold over ``apply``."""
+    violations: dict[Operation, dict[str, frozenset[Operation]]] = {}
+
+    def _update(op: Operation, *args: Any, **kwargs: Any) -> Any:
+        if unmet := requires_rule(op, *args, **kwargs):
+            violations[op] = unmet
+        return op.__default_rule__(*args, **kwargs)
+
+    with interpreter({apply: _update}):
+        evaluate(term)
+    return violations
+
+
+# ---------------------------------------------------------------------------
+# helpers (annotation reading)
+# ---------------------------------------------------------------------------
+def _annotations(annotation: Any) -> tuple[Any, ...]:
+    """All metadata of a (possibly *nested*) ``Annotated`` — ``defop`` wraps params in
+    ``Annotated[..., Scoped]`` so a manual annotation can end up one layer deep."""
+    out: list[Any] = []
+    while typing.get_origin(annotation) is Annotated:
+        args = typing.get_args(annotation)
+        annotation, meta = args[0], args[1:]
+        out.extend(meta)
+    return tuple(out)
+
+
+def _has(annotation: Any, kinds: tuple[type, ...]) -> bool:
+    return any(isinstance(a, kinds) for a in _annotations(annotation))
+
+
+def _is_callable_annotation(annotation: Any) -> bool:
+    while typing.get_origin(annotation) is Annotated:
+        annotation = typing.get_args(annotation)[0]
+    return annotation is collections.abc.Callable or typing.get_origin(annotation) is collections.abc.Callable
+
+
+def _member_ops(m: Any) -> frozenset[Operation]:
+    if typing.get_origin(m) is typing.Literal:
+        return frozenset(a for a in typing.get_args(m) if isinstance(a, Operation))
+    return frozenset({m}) if isinstance(m, Operation) else frozenset()
+
+
+def _declared_uses(op: Operation) -> frozenset[Operation] | None:
+    """The ``Uses[...]`` row off ``op``'s return annotation, or ``None`` if no ``Uses``
+    metadata is present (distinct from ``Uses[()]`` = present-and-empty = pure)."""
+    ret = op.__signature__.return_annotation
+    found: frozenset[Operation] | None = None
+    for anno in _annotations(ret):
+        if isinstance(anno, Uses):
+            found = (found or frozenset())
+            for m in anno.members:
+                found |= _member_ops(m)
+    return found
+
+
+def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
+    """Enter each ``Computation`` callback arg (its ops route back through the active
+    ``apply`` fold), and refuse any *undeclared* callable arg loudly."""
+    try:
+        bound = op.__signature__.bind(*args, **kwargs)
+    except TypeError:
+        return
+    bound.apply_defaults()
+    for name, p in op.__signature__.parameters.items():
+        val = bound.arguments.get(name)
+        if _has(p.annotation, (_Computation,)):
+            if callable(val):
+                val(_hole())  # run it under the active interpreter -> its ops fold; loud if it can't
+        elif callable(val) and not _has(p.annotation, (Uses,)):
+            raise UndeclaredCallable(
+                f"{op}: argument {name!r} is callable but not declared `Computation`/`Uses[()]`; "
+                "its effects can't be soundly folded — annotate it, or the check is unsound."
+            )
+
+
+class _hole:
+    """A permissive placeholder fed to a Computation callback so its op-calls fire (the
+    values don't matter to the effect fold)."""
+
+    def __getattr__(self, _name: str) -> "Any":
+        return _hole()
+
+    def __call__(self, *a: Any, **k: Any) -> "Any":
+        return _hole()
diff --git a/tests/test_effects.py b/tests/test_effects.py
new file mode 100644
index 000000000..7c755bdb0
--- /dev/null
+++ b/tests/test_effects.py
@@ -0,0 +1,68 @@
+"""The effect-row engine (``ε``): ``usesof`` / ``Uses`` / ``Computation`` / ``Requires``.
+
+Branches off ``master`` — the engine lives in ``ops/`` and does not depend on #694.
+"""
+from typing import Annotated, Callable
+
+import pytest
+
+from effectful.ops.effects import (
+    Computation,
+    Requires,
+    UndeclaredCallable,
+    Uses,
+    check_requires,
+    usesof,
+)
+from effectful.ops.syntax import defop
+from effectful.ops.types import NotHandled
+
+
+@defop
+def read() -> int:
+    raise NotHandled
+
+
+@defop
+def write(v: int) -> None:
+    raise NotHandled
+
+
+@defop
+def pure_add(a: int, b: int) -> Annotated[int, Uses[()]]:  # declared pure
+    raise NotHandled
+
+
+def test_usesof_is_the_op_row():
+    assert usesof(write(pure_add(read(), read()))) == frozenset({read, write})
+
+
+def test_uses_empty_is_pure():
+    # a Uses[()] op contributes nothing itself
+    assert pure_add not in usesof(pure_add(read(), read()))
+
+
+def test_computation_callback_is_entered():
+    @defop
+    def apply_cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
+        raise NotHandled
+
+    assert usesof(apply_cb(lambda x: read())) == frozenset({apply_cb, read})
+
+
+def test_undeclared_callable_fails_loudly():
+    @defop
+    def bad(fn: Callable[[int], int]) -> int:  # callable arg, not Computation/Uses[()]
+        raise NotHandled
+
+    with pytest.raises(UndeclaredCallable):
+        usesof(bad(lambda x: x))
+
+
+def test_requires_provenance():
+    @defop
+    def sink(x: Annotated[int, Requires(read)]) -> None:
+        raise NotHandled
+
+    assert check_requires(sink(read())) == {}  # x came from read
+    assert check_requires(sink(pure_add(1, 1))) == {sink: {"x": frozenset({read})}}

From 3224ba00fdd984485e09879e26acdc571b4c92e7 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 15:30:15 +0700
Subject: [PATCH 02/17] =?UTF-8?q?engine:=20add=20effect=5Ftype=20(=CF=84,?=
 =?UTF-8?q?=CE=B5)=20pairing=20+=20check=5Fuses=20(=CE=B5=20leak=20checker?=
 =?UTF-8?q?)?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 effectful/ops/effects.py | 20 +++++++++++++++++++-
 tests/test_effects.py    | 16 ++++++++++++++++
 2 files changed, 35 insertions(+), 1 deletion(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 368473db7..c0fa7f526 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -29,7 +29,7 @@
 from typing import Annotated, Any
 
 from effectful.internals.runtime import interpreter
-from effectful.ops.semantics import apply, evaluate
+from effectful.ops.semantics import apply, evaluate, typeof
 from effectful.ops.types import Annotation, Expr, Operation
 
 __all__ = [
@@ -40,6 +40,8 @@
     "uses_rule",
     "usesof",
     "effectsof",
+    "effect_type",
+    "check_uses",
     "requires_rule",
     "check_requires",
 ]
@@ -159,6 +161,22 @@ def _update(op: Operation, *args: Any, **kwargs: Any) -> Any:
 effectsof = usesof
 
 
+def effect_type[S](term: Expr[S]) -> tuple[type[S], frozenset[Operation]]:
+    """The effect type ``(τ, ε)`` of a term: its result type and its effect row —
+    ``τ`` from :func:`typeof`, ``ε`` from :func:`usesof`. The two folds compose over the
+    same ``apply`` op."""
+    return typeof(term), usesof(term)
+
+
+def check_uses(op: Operation, body: Expr[Any]) -> frozenset[Operation]:
+    """Effects ``body`` performs that ``op``'s declared ``Uses[...]`` does not cover —
+    empty == the declaration is sound (and transitively closed, since ``usesof`` unions
+    the whole DAG). This is the checker for a composite op: ``usesof(body) ⊆ declared``.
+    An op with no ``Uses`` annotation declares nothing, so every effect is reported."""
+    declared = _declared_uses(op)
+    return usesof(body) - (declared if declared is not None else frozenset())
+
+
 # ---------------------------------------------------------------------------
 # Requires verification (upstream: with usesof, in semantics.py)
 # ---------------------------------------------------------------------------
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 7c755bdb0..10faf8401 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -12,6 +12,8 @@
     UndeclaredCallable,
     Uses,
     check_requires,
+    check_uses,
+    effect_type,
     usesof,
 )
 from effectful.ops.syntax import defop
@@ -59,6 +61,20 @@ def bad(fn: Callable[[int], int]) -> int:  # callable arg, not Computation/Uses[
         usesof(bad(lambda x: x))
 
 
+def test_effect_type_pairs_tau_and_epsilon():
+    tau, eps = effect_type(pure_add(read(), read()))
+    assert tau is int and eps == frozenset({read})
+
+
+def test_check_uses_flags_undeclared_effects():
+    @defop
+    def declared() -> Annotated[int, Uses[read]]:  # declares read only
+        raise NotHandled
+
+    assert check_uses(declared, read()) == frozenset()          # body ⊆ declared
+    assert check_uses(declared, write(read())) == frozenset({write})  # write undeclared
+
+
 def test_requires_provenance():
     @defop
     def sink(x: Annotated[int, Requires(read)]) -> None:

From fccfd7f54f1b5bf4c0cf97d672cf66c9ea4b0238 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 15:43:46 +0700
Subject: [PATCH 03/17] fix silent unsoundness: Computation callbacks refuse
 (loud) on arg inspection

- replace permissive _hole (swallowed native-if branches + attr access) with _Opaque
  that raises UnsoundCallbackFold on bool/getattr/iter/getitem; pass-through folds
- regression tests: branch-dropping + structure-inspecting lambdas now raise (were silent)
- _member_ops: raise on unsupported Uses member instead of silent frozenset()
---
 effectful/ops/effects.py | 45 ++++++++++++++++++++++++++++++++--------
 tests/test_effects.py    | 23 ++++++++++++++++++++
 2 files changed, 59 insertions(+), 9 deletions(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index c0fa7f526..3e19be5b4 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -37,6 +37,7 @@
     "Computation",
     "Requires",
     "UndeclaredCallable",
+    "UnsoundCallbackFold",
     "uses_rule",
     "usesof",
     "effectsof",
@@ -124,6 +125,14 @@ class UndeclaredCallable(Exception):
     ``Uses[()]`` — the checker refuses to guess rather than silently under-approximate."""
 
 
+class UnsoundCallbackFold(Exception):
+    """Raised when folding a ``Computation`` callback that *inspects* its argument
+    (branches on it, accesses its attributes, iterates/indexes it). The fold runs the
+    callback on an opaque placeholder to collect its effects; a callback that inspects
+    that placeholder would path/structure-under-approximate, so the fold refuses loudly
+    (a symbolic-execution provider is needed for such callbacks)."""
+
+
 # ---------------------------------------------------------------------------
 # The per-op rule (upstream: Operation.__uses_rule__, default {self})
 # ---------------------------------------------------------------------------
@@ -235,7 +244,12 @@ def _is_callable_annotation(annotation: Any) -> bool:
 def _member_ops(m: Any) -> frozenset[Operation]:
     if typing.get_origin(m) is typing.Literal:
         return frozenset(a for a in typing.get_args(m) if isinstance(a, Operation))
-    return frozenset({m}) if isinstance(m, Operation) else frozenset()
+    if isinstance(m, Operation):
+        return frozenset({m})
+    raise NotImplementedError(  # loud, not a silent frozenset() drop
+        f"Uses member {m!r} is not supported: use `Literal[op]` or a bare `Operation`. "
+        "Polymorphic `Operation[[A], B]` members are a TODO (#448 §8 Q4)."
+    )
 
 
 def _declared_uses(op: Operation) -> frozenset[Operation] | None:
@@ -263,7 +277,7 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
         val = bound.arguments.get(name)
         if _has(p.annotation, (_Computation,)):
             if callable(val):
-                val(_hole())  # run it under the active interpreter -> its ops fold; loud if it can't
+                val(_Opaque())  # run under the active interpreter -> its ops fold; loud if it inspects its arg
         elif callable(val) and not _has(p.annotation, (Uses,)):
             raise UndeclaredCallable(
                 f"{op}: argument {name!r} is callable but not declared `Computation`/`Uses[()]`; "
@@ -271,12 +285,25 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
             )
 
 
-class _hole:
-    """A permissive placeholder fed to a Computation callback so its op-calls fire (the
-    values don't matter to the effect fold)."""
+def _refuse(*_a: Any, **_k: Any) -> Any:
+    raise UnsoundCallbackFold(
+        "usesof ran a Computation callback on an opaque placeholder to collect its "
+        "effects, but the callback inspected its argument (branched on it, accessed an "
+        "attribute, or destructured it). Folding it on a fake value would "
+        "path/structure-under-approximate; refusing rather than under-approximating."
+    )
+
+
+class _Opaque:
+    """Placeholder fed to a ``Computation`` callback so its op-calls fire. Usable only as
+    opaque *data* (passed on to ops); any *inspection* — bool-test, attribute access,
+    iteration, indexing — raises :class:`UnsoundCallbackFold`. So ``lambda x: op()`` and
+    ``lambda x: op(x)`` fold soundly, while ``lambda x: a() if x else b()`` or
+    ``lambda x: x.field`` are refused loudly rather than folded on a fake value."""
 
-    def __getattr__(self, _name: str) -> "Any":
-        return _hole()
+    __slots__ = ()
 
-    def __call__(self, *a: Any, **k: Any) -> "Any":
-        return _hole()
+    __bool__ = _refuse
+    __getattr__ = _refuse
+    __iter__ = _refuse
+    __getitem__ = _refuse
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 10faf8401..259d54ed7 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -10,6 +10,7 @@
     Computation,
     Requires,
     UndeclaredCallable,
+    UnsoundCallbackFold,
     Uses,
     check_requires,
     check_uses,
@@ -52,6 +53,28 @@ def apply_cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
     assert usesof(apply_cb(lambda x: read())) == frozenset({apply_cb, read})
 
 
+def test_computation_callback_ignoring_or_passing_arg_folds():
+    @defop
+    def cb_pass(fn: Annotated[Callable[[int], None], Computation]) -> int:
+        raise NotHandled
+
+    # passes the arg straight to an op (no inspection) — folds soundly
+    assert usesof(cb_pass(lambda x: write(x))) == frozenset({cb_pass, write})
+
+
+def test_computation_callback_inspecting_arg_is_refused_not_silent():
+    @defop
+    def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
+        raise NotHandled
+
+    # branches on the arg -> would drop a branch if folded on a fake value -> refuse loudly
+    with pytest.raises(UnsoundCallbackFold):
+        usesof(cb(lambda x: write(x) if x else read()))  # type: ignore[func-returns-value]
+    # destructures the arg -> refuse loudly (not silently swallowed)
+    with pytest.raises(UnsoundCallbackFold):
+        usesof(cb(lambda x: x.field))
+
+
 def test_undeclared_callable_fails_loudly():
     @defop
     def bad(fn: Callable[[int], int]) -> int:  # callable arg, not Computation/Uses[()]

From 06cb7e6066ca2ed68de23917d4e18c0994510737 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 15:54:29 +0700
Subject: [PATCH 04/17] scope honesty: infer_annotations gate not wired
 (validate-if-called, not build-time); document deferred items

---
 effectful/ops/effects.py | 17 ++++++++++++++---
 1 file changed, 14 insertions(+), 3 deletions(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 3e19be5b4..8a87183ad 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -20,6 +20,14 @@
 ``uses_rule``               a method ``Operation.__uses_rule__`` in ``ops/types.py``
 ``Uses`` / ``Computation`` / ``Requires``   ``ops/syntax.py``, next to ``Scoped``
 ======================  =====================================================
+
+**Deferred (not in this module yet):** `__uses_rule__` as a real ``@final`` method on
+``Operation`` (so subclassed ops like ``Tool``/``Template`` can override their row) —
+currently the free ``uses_rule``; wiring ``Annotation.infer_annotations`` into ``defop``
+(the build-time gate); ``usagesof`` (usage multiset) and handler discharge (2nd PR);
+polymorphic ``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer; and the whole
+LLM layer (Branch B, off #694) — ``toolsof``/``reachable_tools``, the ``ε``-validator at the
+decode seam, tool governance. This module is the ``ε`` core only.
 """
 
 import collections.abc
@@ -78,9 +86,12 @@ class _Computation(Annotation):
 
     @classmethod
     def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
-        # A callable-typed parameter must be classified — Computation (its effects fold)
-        # or Uses[()] (declared not-effectful) — else its effects would be silent. This
-        # is the sound-by-construction gate (mirrors Scoped validating scoping).
+        # Validates that every callable-typed parameter is classified — Computation (its
+        # effects fold) or Uses[()] (declared not-effectful). NOTE: this is NOT yet wired
+        # into `defop`, so it is a validate-if-called helper, not an automatic build-time
+        # gate. Actual enforcement is at `usesof`-time: `_fold_computation_args` raises
+        # `UndeclaredCallable` on an unclassified callable. Wiring generic
+        # `Annotation.infer_annotations` dispatch into op construction is deferred.
         for name, p in sig.parameters.items():
             if _is_callable_annotation(p.annotation) and not _has(p.annotation, (_Computation, Uses)):
                 raise TypeError(

From e7545e6bc00a4d45df00a6ae717646101e7d4524 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:34:51 +0700
Subject: [PATCH 05/17] placement: __uses_rule__ as @final method on Operation,
 Uses in syntax.py

Mirror __type_rule__/__fvs_rule__ exactly: __uses_rule__ is a @final method
on Operation (types.py) reading the declared Uses[...] row off the return
annotation (default {self}); Uses moves to syntax.py next to Scoped, with
Uses.declared() the shared annotation reader. usesof now calls op.__uses_rule__();
the free uses_rule and the effects-local Uses/_member_ops/_declared_uses are gone.

Closes eb8680 P0 #1 (placement, kill free uses_rule). 9/9 effect tests; 3871
core ops/syntax/types/unification tests pass.
---
 effectful/ops/effects.py |   97 +-
 effectful/ops/syntax.py  |   52 +
 effectful/ops/types.py   |   23 +
 uv.lock                  | 3744 ++++++++++++++++++++++++++++++++++++++
 4 files changed, 3843 insertions(+), 73 deletions(-)
 create mode 100644 uv.lock

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 8a87183ad..8debf4a3f 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -10,24 +10,24 @@
 LLM integration (an ``ε`` validator at #694's decode stage + tool governance on its
 ``tool_types`` seam) is a separate, later follow-up in ``handlers/llm/``.
 
-**Final upstream placement** (kept in one module here to be reviewable without editing
-core files):
+**Upstream placement.** The per-op rule and its annotation now live on the core types,
+mirroring the ``τ`` / ``fvs`` machinery exactly:
 
 ======================  =====================================================
-this module             upstream home
+symbol                  home
 ======================  =====================================================
-``usesof`` / ``effectsof``   ``ops/semantics.py``, next to ``typeof`` / ``fvsof``
-``uses_rule``               a method ``Operation.__uses_rule__`` in ``ops/types.py``
-``Uses`` / ``Computation`` / ``Requires``   ``ops/syntax.py``, next to ``Scoped``
+``Operation.__uses_rule__``   ``ops/types.py``, a ``@final`` method next to ``__type_rule__`` / ``__fvs_rule__``
+``Uses``                    ``ops/syntax.py``, next to ``Scoped`` (read by ``__uses_rule__``)
+``usesof`` / ``effectsof``   this module (final home: ``ops/semantics.py``, next to ``typeof`` / ``fvsof``)
+``Computation`` / ``Requires``   this module (final home: ``ops/syntax.py``); argument annotations read by the fold
 ======================  =====================================================
 
-**Deferred (not in this module yet):** `__uses_rule__` as a real ``@final`` method on
-``Operation`` (so subclassed ops like ``Tool``/``Template`` can override their row) —
-currently the free ``uses_rule``; wiring ``Annotation.infer_annotations`` into ``defop``
-(the build-time gate); ``usagesof`` (usage multiset) and handler discharge (2nd PR);
-polymorphic ``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer; and the whole
-LLM layer (Branch B, off #694) — ``toolsof``/``reachable_tools``, the ``ε``-validator at the
-decode seam, tool governance. This module is the ``ε`` core only.
+**Deferred (not implemented yet):** wiring ``Annotation.infer_annotations`` into ``defop``
+(the build-time gate — enforcement is currently at ``usesof``-time, see ``_Computation``);
+``usagesof`` (usage multiset) and handler discharge (2nd PR); polymorphic
+``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer; and the LLM layer
+(Branch B, off #694) — ``toolsof``/``reachable_tools``, the ``ε``-validator at the decode
+seam, tool governance. This module is the ``ε`` core (fold + argument annotations).
 """
 
 import collections.abc
@@ -38,6 +38,7 @@
 
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply, evaluate, typeof
+from effectful.ops.syntax import Uses
 from effectful.ops.types import Annotation, Expr, Operation
 
 __all__ = [
@@ -46,7 +47,6 @@
     "Requires",
     "UndeclaredCallable",
     "UnsoundCallbackFold",
-    "uses_rule",
     "usesof",
     "effectsof",
     "effect_type",
@@ -57,26 +57,11 @@
 
 
 # ---------------------------------------------------------------------------
-# Annotations an op declares (read off ``Annotated[T, ...]``)
+# Annotations an op declares (read off ``Annotated[T, ...]``).
+# ``Uses`` itself lives in ``ops/syntax.py`` (next to ``Scoped``) and is read by
+# ``Operation.__uses_rule__``; ``Computation`` / ``Requires`` are argument annotations
+# read by the fold below.
 # ---------------------------------------------------------------------------
-class Uses:
-    """Effect-row annotation metadata: ``Annotated[T, Uses[op1, op2, ...]]`` on a
-    *return* type. ``Uses[()]`` is the empty row — explicitly pure. Read by
-    :func:`uses_rule`. (Not an :class:`Annotation` subtype: it is plain metadata, not
-    a signature transform.)"""
-
-    __slots__ = ("members",)
-
-    def __class_getitem__(cls, items: Any) -> "Uses":
-        return cls(items if isinstance(items, tuple) else (items,))
-
-    def __init__(self, members: tuple[Any, ...]) -> None:
-        self.members = members
-
-    def __repr__(self) -> str:
-        return f"Uses{list(self.members)!r}"
-
-
 @dataclass(frozen=True)
 class _Computation(Annotation):
     """``Annotated[Callable[[A], B], Computation]`` on an *argument*: a suspended
@@ -144,17 +129,6 @@ class UnsoundCallbackFold(Exception):
     (a symbolic-execution provider is needed for such callbacks)."""
 
 
-# ---------------------------------------------------------------------------
-# The per-op rule (upstream: Operation.__uses_rule__, default {self})
-# ---------------------------------------------------------------------------
-def uses_rule(op: Operation) -> frozenset[Operation]:
-    """The effect row an op contributes *itself*: its declared ``Uses[...]`` if the
-    return is annotated, else ``{op}``. (``Computation`` args are folded by
-    :func:`usesof`, not here.)"""
-    declared = _declared_uses(op)
-    return declared if declared is not None else frozenset({op})
-
-
 # ---------------------------------------------------------------------------
 # The fold (upstream: ops/semantics.py, next to typeof/fvsof)
 # ---------------------------------------------------------------------------
@@ -162,14 +136,15 @@ def usesof[S](term: Expr[S]) -> frozenset[Operation]:
     """Return the effect row of a term: the set of operations it performs. The
     effect-typing sibling of :func:`typeof` / :func:`fvsof`.
 
-    Each applied op contributes :func:`uses_rule` (default ``{self}``, ``Uses[()]`` =
-    pure). ``Computation``-marked callback args are *entered* so their effects fold too;
-    an undeclared callable arg raises :class:`UndeclaredCallable` (never silent).
+    Each applied op contributes :meth:`Operation.__uses_rule__` (default ``{self}``,
+    ``Uses[()]`` = pure). ``Computation``-marked callback args are *entered* so their
+    effects fold too; an undeclared callable arg raises :class:`UndeclaredCallable`
+    (never silent).
     """
     used: set[Operation] = set()
 
     def _update(op: Operation, *args: Any, **kwargs: Any) -> Any:
-        used.update(uses_rule(op))
+        used.update(op.__uses_rule__())
         _fold_computation_args(op, args, kwargs)  # enters callbacks; loud on undeclared
 
     with interpreter({apply: _update}):
@@ -193,7 +168,7 @@ def check_uses(op: Operation, body: Expr[Any]) -> frozenset[Operation]:
     empty == the declaration is sound (and transitively closed, since ``usesof`` unions
     the whole DAG). This is the checker for a composite op: ``usesof(body) ⊆ declared``.
     An op with no ``Uses`` annotation declares nothing, so every effect is reported."""
-    declared = _declared_uses(op)
+    declared = Uses.declared(op.__signature__)
     return usesof(body) - (declared if declared is not None else frozenset())
 
 
@@ -252,30 +227,6 @@ def _is_callable_annotation(annotation: Any) -> bool:
     return annotation is collections.abc.Callable or typing.get_origin(annotation) is collections.abc.Callable
 
 
-def _member_ops(m: Any) -> frozenset[Operation]:
-    if typing.get_origin(m) is typing.Literal:
-        return frozenset(a for a in typing.get_args(m) if isinstance(a, Operation))
-    if isinstance(m, Operation):
-        return frozenset({m})
-    raise NotImplementedError(  # loud, not a silent frozenset() drop
-        f"Uses member {m!r} is not supported: use `Literal[op]` or a bare `Operation`. "
-        "Polymorphic `Operation[[A], B]` members are a TODO (#448 §8 Q4)."
-    )
-
-
-def _declared_uses(op: Operation) -> frozenset[Operation] | None:
-    """The ``Uses[...]`` row off ``op``'s return annotation, or ``None`` if no ``Uses``
-    metadata is present (distinct from ``Uses[()]`` = present-and-empty = pure)."""
-    ret = op.__signature__.return_annotation
-    found: frozenset[Operation] | None = None
-    for anno in _annotations(ret):
-        if isinstance(anno, Uses):
-            found = (found or frozenset())
-            for m in anno.members:
-                found |= _member_ops(m)
-    return found
-
-
 def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
     """Enter each ``Computation`` callback arg (its ops route back through the active
     ``apply`` fold), and refuse any *undeclared* callable arg loudly."""
diff --git a/effectful/ops/syntax.py b/effectful/ops/syntax.py
index 764016752..36168c01d 100644
--- a/effectful/ops/syntax.py
+++ b/effectful/ops/syntax.py
@@ -382,6 +382,58 @@ def extract_operations(obj):
         return bound_vars
 
 
+class Uses:
+    """Effect-row annotation metadata: ``Annotated[T, Uses[op1, op2, ...]]`` on a
+    *return* type, declaring the operations a composite operation performs. ``Uses[()]``
+    is the empty row — explicitly pure. Read by :meth:`Operation.__uses_rule__` (the
+    ``ε`` sibling of ``__type_rule__``), the same way :class:`Scoped` on an argument is
+    read by :meth:`Operation.__fvs_rule__`.
+
+    Members are bare :class:`Operation` s or ``Literal[op]``. (Not an :class:`Annotation`
+    subtype: it is plain metadata on the return type, not a signature transform.)
+    """
+
+    __slots__ = ("members",)
+
+    def __class_getitem__(cls, items: Any) -> "Uses":
+        return cls(items if isinstance(items, tuple) else (items,))
+
+    def __init__(self, members: tuple[Any, ...]) -> None:
+        self.members = members
+
+    def __repr__(self) -> str:
+        return f"Uses{list(self.members)!r}"
+
+    @staticmethod
+    def _member_ops(m: Any) -> frozenset[Operation]:
+        if typing.get_origin(m) is typing.Literal:
+            return frozenset(a for a in typing.get_args(m) if isinstance(a, Operation))
+        if isinstance(m, Operation):
+            return frozenset({m})
+        raise NotImplementedError(  # loud, not a silent frozenset() drop
+            f"Uses member {m!r} is not supported: use `Literal[op]` or a bare `Operation`. "
+            "Polymorphic `Operation[[A], B]` members are a TODO (#448 §8 Q4)."
+        )
+
+    @classmethod
+    def declared(cls, sig: inspect.Signature) -> frozenset[Operation] | None:
+        """The ``Uses[...]`` row off a signature's return annotation, or ``None`` if no
+        ``Uses`` metadata is present (distinct from ``Uses[()]`` = present-and-empty =
+        explicitly pure). ``defop`` may wrap the return in a nested ``Annotated``, so this
+        flattens all metadata layers."""
+        anno = sig.return_annotation
+        found: frozenset[Operation] | None = None
+        while typing.get_origin(anno) is Annotated:
+            args = typing.get_args(anno)
+            for meta in args[1:]:
+                if isinstance(meta, cls):
+                    found = found or frozenset()
+                    for m in meta.members:
+                        found |= cls._member_ops(m)
+            anno = args[0]
+        return found
+
+
 defop = Operation.define
 
 
diff --git a/effectful/ops/types.py b/effectful/ops/types.py
index 46419d7a8..10dd90686 100644
--- a/effectful/ops/types.py
+++ b/effectful/ops/types.py
@@ -442,6 +442,29 @@ def __fvs_rule__(self, *args: Q.args, **kwargs: Q.kwargs) -> inspect.BoundArgume
 
         return result_sig
 
+    @typing.final
+    def __uses_rule__(self) -> "frozenset[Operation]":
+        """Returns the effect row this operation contributes *itself*: its declared
+        ``Uses[...]`` if the return type is annotated, else ``{self}`` (the operation
+        performs itself).
+
+        The ``ε`` sibling of :meth:`__type_rule__` — where ``__type_rule__`` reads the
+        result *type* off the return annotation, ``__uses_rule__`` reads the declared
+        effect *row* off the same annotation's :class:`~effectful.ops.syntax.Uses`
+        metadata. Used by :func:`effectful.ops.semantics.usesof` to accumulate a term's
+        row over :func:`evaluate`, exactly as ``__fvs_rule__`` is used by :func:`fvsof`.
+
+        Like the other rule methods this is ``@final`` and annotation-driven: a subclass
+        such as ``Tool`` declares its row by annotating its return type ``Uses[...]``, not
+        by overriding this method. The row is arg-independent (a composite op declares the
+        ops it performs, not which it performs per call); the arg-dependent part — folding
+        the effects of ``Computation`` callback arguments — is handled by ``usesof``.
+        """
+        from effectful.ops.syntax import Uses
+
+        declared = Uses.declared(self.__signature__)
+        return declared if declared is not None else frozenset({self})
+
     def __repr__(self):
         return f"{self.__class__.__name__}({self.__name__}, {self.__signature__})"
 
diff --git a/uv.lock b/uv.lock
new file mode 100644
index 000000000..212ef65c0
--- /dev/null
+++ b/uv.lock
@@ -0,0 +1,3744 @@
+version = 1
+revision = 3
+requires-python = ">=3.12"
+resolution-markers = [
+    "python_full_version >= '3.15'",
+    "python_full_version >= '3.13' and python_full_version < '3.15'",
+    "python_full_version < '3.13'",
+]
+
+[[package]]
+name = "aiohappyeyeballs"
+version = "2.7.1"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/ce/f4/eec0465c2f67b2664688d0240b3212d5196fd89e741df67ddb81f8d35658/aiohappyeyeballs-2.7.1.tar.gz", hash = "sha256:065665c041c42a5938ed220bdcd7230f22527fbec085e1853d2402c8a3615d9d", size = 24757, upload-time = "2026-07-01T17:11:55.501Z" }
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+]
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+[[package]]
+name = "aiohttp"
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From 53cd5f4b9e8cbfd5b0f342454396533abeacb43e Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:41:24 +0700
Subject: [PATCH 06/17] L0 tool governance: static toolsof / reachable_tools
 (no LLM)
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

handlers/llm/governance.py: toolsof(tool) = the transitive tool graph over
.tools; reachable_tools(fn) reifies fn under defdata (no tool body runs, no LLM)
and structurally walks the term for Tool nodes, expanding via toolsof. This is
the L0 static core of plan §5 (reachable_tools(fn) <= declared = tool-safety check).

Uses a structural term walk, not usesof: Tool/Template subclass Operation and
override __apply__, so a called tool sits in an apply node's args, not as its op
(usesof only folds base-apply ops). 3 governance tests; 113 template+effects+gov pass.

Closes eb8680 P1 #4 (land L0 toolsof/reachable_tools).
---
 effectful/handlers/llm/governance.py  | 92 +++++++++++++++++++++++++++
 tests/test_handlers_llm_governance.py | 72 +++++++++++++++++++++
 2 files changed, 164 insertions(+)
 create mode 100644 effectful/handlers/llm/governance.py
 create mode 100644 tests/test_handlers_llm_governance.py

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
new file mode 100644
index 000000000..64999b759
--- /dev/null
+++ b/effectful/handlers/llm/governance.py
@@ -0,0 +1,92 @@
+"""Static tool-graph governance for LLM :class:`~effectful.handlers.llm.template.Template` s.
+
+A :class:`~effectful.handlers.llm.template.Tool` **is** an
+:class:`~effectful.ops.types.Operation` (``class Tool(Operation)``,
+``class Template(Tool)``), so a template's tools *are* part of its effect row. These are
+the ``ε``-engine siblings specialised to the tool graph — the **static, sound** core of
+§5 tool governance, computable with **no LLM call**:
+
+* :func:`toolsof` — the transitive tool graph reachable from a tool/template via ``.tools``.
+* :func:`reachable_tools` — the tools a zero-arg function can reach, *through* templates,
+  by reifying it to a :class:`~effectful.ops.types.Term` (never running the LLM) and
+  folding it with :func:`~effectful.ops.effects.usesof`.
+
+``reachable_tools(fn) <= declared`` is then a compile-time tool-safety check (L2): an
+agent provably cannot reach a dangerous tool, even through nested sub-agents. This is
+*more* tractable than the general effect fold — a static named-op graph, so none of the
+higher-order/reifiability caveats of the general case apply.
+"""
+
+import collections.abc
+from typing import Any, Callable
+
+from effectful.handlers.llm.template import Tool
+from effectful.ops.semantics import apply, handler
+from effectful.ops.syntax import defdata
+from effectful.ops.types import Term
+
+__all__ = ["toolsof", "reachable_tools"]
+
+
+def _tools_in(term: Any) -> frozenset[Tool]:
+    """Every :class:`Tool` appearing *anywhere* in a reified ``term`` — as an operation
+    or as an argument. ``Tool`` / ``Template`` subclass :class:`~effectful.ops.types.Operation`
+    and define their own ``__apply__``, so a called tool sits in the ``args`` of an
+    ``apply`` node rather than being the node's ``op``; a structural walk catches both.
+    """
+    found: set[Tool] = set()
+
+    def walk(x: Any) -> None:
+        if isinstance(x, Tool):
+            found.add(x)
+        if isinstance(x, Term):
+            walk(x.op)
+            for a in x.args:
+                walk(a)
+            for v in x.kwargs.values():
+                walk(v)
+        elif isinstance(x, collections.abc.Mapping):
+            for k, v in x.items():
+                walk(k)
+                walk(v)
+        elif isinstance(x, (list, tuple, set, frozenset)):
+            for e in x:
+                walk(e)
+
+    walk(term)
+    return frozenset(found)
+
+
+def toolsof(tool: Tool) -> frozenset[Tool]:
+    """The tools transitively reachable from ``tool`` through its ``.tools`` graph
+    (a template's tools are themselves tools, so this closes over sub-agents too).
+
+    Fully static — it reads the lexically-captured ``.tools`` mapping, never calls the
+    LLM. ``tool`` itself is *not* included (it is the root, not something it reaches).
+    """
+    seen: set[Tool] = set()
+    stack: list[Tool] = [tool]
+    while stack:
+        cur = stack.pop()
+        for sub in getattr(cur, "tools", {}).values():
+            if sub not in seen:
+                seen.add(sub)
+                stack.append(sub)
+    return frozenset(seen)
+
+
+def reachable_tools(fn: Callable[[], Any]) -> frozenset[Tool]:
+    """Every tool a zero-arg ``fn`` can reach, *including through templates it calls*,
+    without ever running a tool body or the LLM.
+
+    ``fn`` is reified to a :class:`~effectful.ops.types.Term` under ``defdata`` — so even
+    tools with real implementations become term nodes rather than executing — and the term
+    is walked for the :class:`Tool` s it mentions (:func:`_tools_in`). Those are the
+    *directly* reached tools; :func:`toolsof` expands each to the tools it in turn reaches.
+    A template's body is ``raise NotHandled`` so it performs no tools directly, but the
+    tools it captured lexically are recovered statically through :func:`toolsof`.
+    """
+    with handler({apply: defdata}):
+        term = fn()  # reify — no tool body runs, no LLM call
+    direct = _tools_in(term)
+    return direct.union(*(toolsof(t) for t in direct))
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
new file mode 100644
index 000000000..0bb464c65
--- /dev/null
+++ b/tests/test_handlers_llm_governance.py
@@ -0,0 +1,72 @@
+"""L0 static tool governance: ``toolsof`` / ``reachable_tools`` — no LLM call.
+
+These check the static tool graph (§5): which tools a template, or a function that calls
+one, can reach — computed by reifying to a Term and folding, never running the LLM.
+"""
+
+from effectful.handlers.llm.governance import reachable_tools, toolsof
+from effectful.handlers.llm.template import Template, Tool
+
+
+def _trip_planner():
+    """Build a template with a captured tool graph and a caller of it.
+
+    Returns ``(suggest_city, delete_everything, my_fn)`` where ``suggest_city`` is a
+    template that lexically captures ``cities``/``weather``/``delete_everything``, and
+    ``my_fn`` is a plain function that calls the template.
+    """
+
+    @Tool.define
+    def cities() -> list[str]:
+        """Return a list of cities."""
+        return ["Chicago", "Barcelona"]
+
+    @Tool.define
+    def weather(city: str) -> str:
+        """Return the weather in a city."""
+        return "sunny"
+
+    @Tool.define
+    def delete_everything() -> None:
+        """Dangerous: wipe all state."""
+        raise RuntimeError("boom")
+
+    @Template.define
+    def suggest_city() -> str:
+        """Use the `cities` and `weather` tools to suggest a city."""
+        raise NotImplementedError
+
+    def my_fn() -> str:
+        return suggest_city()
+
+    return suggest_city, delete_everything, my_fn
+
+
+def test_toolsof_is_the_static_tool_graph():
+    suggest_city, delete_everything, _ = _trip_planner()
+    reached = toolsof(suggest_city)
+    # every lexically-captured tool is reachable, including the dangerous one
+    names = {t.__name__ for t in reached}
+    assert {"cities", "weather", "delete_everything"} <= names
+    assert delete_everything in reached
+    # the root itself is not one of the tools it reaches
+    assert suggest_city not in reached
+
+
+def test_reachable_tools_sees_through_a_template_without_calling_the_llm():
+    suggest_city, delete_everything, my_fn = _trip_planner()
+    reached = reachable_tools(my_fn)
+    # the template it calls, and (transitively) that template's tools
+    assert suggest_city in reached
+    assert delete_everything in reached
+    assert {"suggest_city", "cities", "weather", "delete_everything"} <= {
+        t.__name__ for t in reached
+    }
+
+
+def test_reachable_tools_is_the_leak_check():
+    # `reachable_tools(fn) <= declared` is the static tool-safety guarantee.
+    suggest_city, delete_everything, my_fn = _trip_planner()
+    declared = {suggest_city} | toolsof(suggest_city) - {delete_everything}
+    leak = reachable_tools(my_fn) - declared
+    assert leak == frozenset({delete_everything})  # flagged, LLM never called

From 4385aa8be3ee68db14665ed1b98d23834021297e Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:47:18 +0700
Subject: [PATCH 07/17] fix(governance): reify with interpreter (replace), not
 handler (merge)
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Cold eb8680 review P1: reachable_tools used handler({apply: defdata}) (merge),
so an ambient Tool.__apply__ interpretation would win dispatch and a called tool
would execute concretely instead of reifying -> silently missed. This violates
the plan's own §0 do-not-regress invariant (the reifier must REPLACE apply).
Switch to interpreter({apply: defdata}); add test_reachable_tools_ignores_ambient
_apply_handler locking in the soundness law. Also drop redundant __name__-string
asserts (P2) in favor of identity/subset checks. 4 governance tests pass.
---
 effectful/handlers/llm/governance.py  | 12 +++++++---
 tests/test_handlers_llm_governance.py | 34 ++++++++++++++++++++++-----
 2 files changed, 37 insertions(+), 9 deletions(-)

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
index 64999b759..4e2e80e7d 100644
--- a/effectful/handlers/llm/governance.py
+++ b/effectful/handlers/llm/governance.py
@@ -21,7 +21,8 @@
 from typing import Any, Callable
 
 from effectful.handlers.llm.template import Tool
-from effectful.ops.semantics import apply, handler
+from effectful.internals.runtime import interpreter
+from effectful.ops.semantics import apply
 from effectful.ops.syntax import defdata
 from effectful.ops.types import Term
 
@@ -85,8 +86,13 @@ def reachable_tools(fn: Callable[[], Any]) -> frozenset[Tool]:
     *directly* reached tools; :func:`toolsof` expands each to the tools it in turn reaches.
     A template's body is ``raise NotHandled`` so it performs no tools directly, but the
     tools it captured lexically are recovered statically through :func:`toolsof`.
+
+    The reifier uses ``interpreter`` (*replace*), never ``handler`` (*merge*): merging
+    would let an ambient ``Tool.__apply__`` handler win dispatch, so the tool would run
+    concretely instead of reifying and the walk would silently miss it — the static
+    guarantee must hold regardless of what is installed at the call site.
     """
-    with handler({apply: defdata}):
-        term = fn()  # reify — no tool body runs, no LLM call
+    with interpreter({apply: defdata}):
+        term = fn()  # reify — no tool body runs, no LLM call, ambient handlers ignored
     direct = _tools_in(term)
     return direct.union(*(toolsof(t) for t in direct))
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 0bb464c65..0da58a109 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -6,6 +6,8 @@
 
 from effectful.handlers.llm.governance import reachable_tools, toolsof
 from effectful.handlers.llm.template import Template, Tool
+from effectful.internals.runtime import interpreter
+from effectful.ops.semantics import apply
 
 
 def _trip_planner():
@@ -46,8 +48,6 @@ def test_toolsof_is_the_static_tool_graph():
     suggest_city, delete_everything, _ = _trip_planner()
     reached = toolsof(suggest_city)
     # every lexically-captured tool is reachable, including the dangerous one
-    names = {t.__name__ for t in reached}
-    assert {"cities", "weather", "delete_everything"} <= names
     assert delete_everything in reached
     # the root itself is not one of the tools it reaches
     assert suggest_city not in reached
@@ -56,12 +56,10 @@ def test_toolsof_is_the_static_tool_graph():
 def test_reachable_tools_sees_through_a_template_without_calling_the_llm():
     suggest_city, delete_everything, my_fn = _trip_planner()
     reached = reachable_tools(my_fn)
-    # the template it calls, and (transitively) that template's tools
+    # the template it calls, and (transitively) that template's captured tools
     assert suggest_city in reached
     assert delete_everything in reached
-    assert {"suggest_city", "cities", "weather", "delete_everything"} <= {
-        t.__name__ for t in reached
-    }
+    assert toolsof(suggest_city) <= reached
 
 
 def test_reachable_tools_is_the_leak_check():
@@ -70,3 +68,27 @@ def test_reachable_tools_is_the_leak_check():
     declared = {suggest_city} | toolsof(suggest_city) - {delete_everything}
     leak = reachable_tools(my_fn) - declared
     assert leak == frozenset({delete_everything})  # flagged, LLM never called
+
+
+def test_reachable_tools_ignores_ambient_apply_handler():
+    # Soundness law: static reachability must not depend on what is installed at the call
+    # site. With `handler` (merge) an ambient apply interpretation would win dispatch, so a
+    # called tool runs concretely instead of reifying and is silently missed. The reifier
+    # uses `interpreter` (replace), so the row is identical either way and the reified
+    # tool ops never reach the ambient handler.
+    suggest_city, delete_everything, my_fn = _trip_planner()
+    baseline = reachable_tools(my_fn)
+
+    ran = []
+
+    def ambient(op, *a, **k):  # a valid ambient interpretation (concrete execution)
+        ran.append(op)
+        return op.__default_rule__(*a, **k)
+
+    with interpreter({apply: ambient}):
+        under_ambient = reachable_tools(my_fn)
+
+    assert under_ambient == baseline  # row unaffected by the ambient handler
+    assert delete_everything in under_ambient
+    # reification isolated the tool calls — none of the trip tools executed concretely
+    assert not ({suggest_city, delete_everything} & set(ran))

From d443e142f01875d79ac60db4254fc634fe73836a Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:48:21 +0700
Subject: [PATCH 08/17] L2 checker: check_tools(fn, *allowed) = reachable_tools
 - allowed
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

The tool-graph analogue of check_uses — the static tool-safety leak check
(plan §5 L2), completing the L0->L2 static arc. 6 governance + 9 effects tests pass.
---
 effectful/handlers/llm/governance.py  | 13 ++++++++++++-
 tests/test_handlers_llm_governance.py | 11 ++++++++++-
 2 files changed, 22 insertions(+), 2 deletions(-)

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
index 4e2e80e7d..aed994894 100644
--- a/effectful/handlers/llm/governance.py
+++ b/effectful/handlers/llm/governance.py
@@ -26,7 +26,7 @@
 from effectful.ops.syntax import defdata
 from effectful.ops.types import Term
 
-__all__ = ["toolsof", "reachable_tools"]
+__all__ = ["toolsof", "reachable_tools", "check_tools"]
 
 
 def _tools_in(term: Any) -> frozenset[Tool]:
@@ -96,3 +96,14 @@ def reachable_tools(fn: Callable[[], Any]) -> frozenset[Tool]:
         term = fn()  # reify — no tool body runs, no LLM call, ambient handlers ignored
     direct = _tools_in(term)
     return direct.union(*(toolsof(t) for t in direct))
+
+
+def check_tools(fn: Callable[[], Any], *allowed: Tool) -> frozenset[Tool]:
+    """Tools ``fn`` can reach that are not in the ``allowed`` set — the static tool-safety
+    leak check (§5 L2). Empty == ``fn`` provably cannot reach a tool outside ``allowed``,
+    even through nested templates, and **no LLM was called** to prove it.
+
+    The tool-graph analogue of :func:`~effectful.ops.effects.check_uses`:
+    ``reachable_tools(fn) - allowed``.
+    """
+    return reachable_tools(fn) - frozenset(allowed)
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 0da58a109..305930570 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -4,7 +4,7 @@
 one, can reach — computed by reifying to a Term and folding, never running the LLM.
 """
 
-from effectful.handlers.llm.governance import reachable_tools, toolsof
+from effectful.handlers.llm.governance import check_tools, reachable_tools, toolsof
 from effectful.handlers.llm.template import Template, Tool
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply
@@ -70,6 +70,15 @@ def test_reachable_tools_is_the_leak_check():
     assert leak == frozenset({delete_everything})  # flagged, LLM never called
 
 
+def test_check_tools_flags_the_leak():
+    # check_tools = reachable_tools - allowed; the L2 tool-safety check (no LLM).
+    suggest_city, delete_everything, my_fn = _trip_planner()
+    allowed = {suggest_city} | toolsof(suggest_city) - {delete_everything}
+    assert check_tools(my_fn, *allowed) == frozenset({delete_everything})
+    # allowing everything reachable -> no leak
+    assert check_tools(my_fn, *reachable_tools(my_fn)) == frozenset()
+
+
 def test_reachable_tools_ignores_ambient_apply_handler():
     # Soundness law: static reachability must not depend on what is installed at the call
     # site. With `handler` (merge) an ambient apply interpretation would win dispatch, so a

From af979cd37987fb9005e1a252494a2a8eff9adbaf Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:54:38 +0700
Subject: [PATCH 09/17] L1: Uses-restricted Template.tools (allow-list, default
 = full capture)
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Template.tools intersects the lexical capture with the declared Uses[...] row
when present, so the LLM is offered only the allow-listed tools; no Uses = today's
behavior (backward-compatible). The restriction flows transitively into toolsof/
reachable_tools. Completes plan §5 L0->L1->L2. 107 governance+template tests pass.
---
 effectful/handlers/llm/template.py    | 14 +++++++++-
 tests/test_handlers_llm_governance.py | 40 +++++++++++++++++++++++++++
 2 files changed, 53 insertions(+), 1 deletion(-)

diff --git a/effectful/handlers/llm/template.py b/effectful/handlers/llm/template.py
index cffda38cf..804855642 100644
--- a/effectful/handlers/llm/template.py
+++ b/effectful/handlers/llm/template.py
@@ -216,8 +216,15 @@ def __prompt_template__(self) -> str:
     @property
     def tools(self) -> Mapping[str, Tool]:
         """Operations and Templates available as tools, plus synthetic
-        readers for other lexical symbols. Auto-captured from lexical context."""
+        readers for other lexical symbols. Auto-captured from lexical context.
+
+        If the return type declares an allow-list with ``Uses[...]`` metadata, the
+        lexical capture is intersected with it — the LLM is offered *only* the declared
+        tools. With no ``Uses`` annotation (the default) the full lexical capture is
+        returned, so this is backward-compatible.
+        """
         from effectful.handlers.llm.completions import collect_tools
+        from effectful.ops.syntax import Uses
 
         result = dict(collect_tools(self.__context__))
 
@@ -228,6 +235,11 @@ def tools(self) -> Mapping[str, Tool]:
                 if tool is self:
                     del result[name]
 
+        # A `Uses[...]` return annotation is an allow-list: keep only declared tools.
+        allowed = Uses.declared(self.__signature__)
+        if allowed is not None:
+            result = {name: t for name, t in result.items() if t in allowed}
+
         return result
 
     def __get__[S](self, instance: S | None, owner: type[S] | None = None):
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 305930570..25e5fe073 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -4,10 +4,13 @@
 one, can reach — computed by reifying to a Term and folding, never running the LLM.
 """
 
+from typing import Annotated
+
 from effectful.handlers.llm.governance import check_tools, reachable_tools, toolsof
 from effectful.handlers.llm.template import Template, Tool
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply
+from effectful.ops.syntax import Uses
 
 
 def _trip_planner():
@@ -70,6 +73,43 @@ def test_reachable_tools_is_the_leak_check():
     assert leak == frozenset({delete_everything})  # flagged, LLM never called
 
 
+def test_uses_restricts_template_tools_to_the_allow_list():
+    # L1: a `Uses[...]` return annotation makes `.tools` an allow-list. With cities,
+    # weather and delete_everything all in scope, a template declaring `Uses[cities]`
+    # is offered only cities — the dangerous tool is never even presented to the LLM.
+    @Tool.define
+    def cities() -> list[str]:
+        """Return a list of cities."""
+        return ["Chicago"]
+
+    @Tool.define
+    def weather(city: str) -> str:
+        """Return the weather."""
+        return "sunny"
+
+    @Tool.define
+    def delete_everything() -> None:
+        """Dangerous."""
+        raise RuntimeError
+
+    @Template.define
+    def restricted() -> Annotated[str, Uses[cities]]:
+        """Suggest a city using only `cities`."""
+        raise NotImplementedError
+
+    @Template.define
+    def unrestricted() -> str:
+        """Suggest a city."""
+        raise NotImplementedError
+
+    assert set(restricted.tools.values()) == {cities}
+    # the restriction flows transitively — the dangerous tool drops out of reachability
+    assert delete_everything not in toolsof(restricted)
+    assert delete_everything not in reachable_tools(lambda: restricted())
+    # default (no Uses) is unchanged: full lexical capture, dangerous tool included
+    assert {cities, weather, delete_everything} <= set(unrestricted.tools.values())
+
+
 def test_check_tools_flags_the_leak():
     # check_tools = reachable_tools - allowed; the L2 tool-safety check (no LLM).
     suggest_city, delete_everything, my_fn = _trip_planner()

From 718134d506639447862f52c9892c29c20bcc088b Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 18:57:56 +0700
Subject: [PATCH 10/17] resolve P0 #2: demote Computation/Requires to plain
 read-metadata
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

The infer_annotations classmethods were dead (never dispatched — effectful calls
each annotation's infer_annotations explicitly by name where consumed, and nothing
consumed these). They were kept alive only by the Annotation ABC. Uses already set
the precedent that effect annotations which are *read* (not signature-transforming)
are plain metadata; make Computation/Requires uniform with it and drop the ABC base
+ dead methods + the now-unused _is_callable_annotation helper and inspect/
collections.abc/Annotation imports. Soundness is unchanged: _fold_computation_args
still fails loudly (UndeclaredCallable) on an unclassified callable at fold time.
73 effects+governance+types+syntax tests pass.
---
 effectful/ops/effects.py | 68 ++++++++++++++--------------------------
 1 file changed, 24 insertions(+), 44 deletions(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 8debf4a3f..8a8c6c190 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -22,16 +22,21 @@
 ``Computation`` / ``Requires``   this module (final home: ``ops/syntax.py``); argument annotations read by the fold
 ======================  =====================================================
 
-**Deferred (not implemented yet):** wiring ``Annotation.infer_annotations`` into ``defop``
-(the build-time gate — enforcement is currently at ``usesof``-time, see ``_Computation``);
-``usagesof`` (usage multiset) and handler discharge (2nd PR); polymorphic
-``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer; and the LLM layer
-(Branch B, off #694) — ``toolsof``/``reachable_tools``, the ``ε``-validator at the decode
-seam, tool governance. This module is the ``ε`` core (fold + argument annotations).
+Like ``Uses``, ``Computation`` and ``Requires`` are plain *read*-metadata, not
+:class:`~effectful.ops.types.Annotation` signature-transforms: enforcement is at
+``usesof``-time (``_fold_computation_args`` fails loudly on an unclassified callable), so
+there is no build-time ``infer_annotations`` gate to wire.
+
+The static LLM tool-governance layer (``toolsof`` / ``reachable_tools`` / ``check_tools``
+and ``Uses``-restricted ``Template.tools``) is built on top of this in
+``handlers/llm/governance.py`` and ``handlers/llm/template.py``.
+
+**Deferred (not implemented yet):** ``usagesof`` (usage multiset) and handler discharge
+(2nd PR); polymorphic ``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer;
+and the runtime LLM layer (Branch B, off #694) — the ``ε``-validator at the decode seam
+and ``tool_choice`` forcing. This module is the ``ε`` core (fold + argument annotations).
 """
 
-import collections.abc
-import inspect
 import typing
 from dataclasses import dataclass
 from typing import Annotated, Any
@@ -39,7 +44,7 @@
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply, evaluate, typeof
 from effectful.ops.syntax import Uses
-from effectful.ops.types import Annotation, Expr, Operation
+from effectful.ops.types import Expr, Operation
 
 __all__ = [
     "Uses",
@@ -63,27 +68,16 @@
 # read by the fold below.
 # ---------------------------------------------------------------------------
 @dataclass(frozen=True)
-class _Computation(Annotation):
+class _Computation:
     """``Annotated[Callable[[A], B], Computation]`` on an *argument*: a suspended
     computation whose effect row joins the op's row when the op runs it. Higher-order
     combinators (``map``/``filter``/…) mark their callback arg with this instead of the
-    checker hard-coding which ops are higher-order."""
-
-    @classmethod
-    def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
-        # Validates that every callable-typed parameter is classified — Computation (its
-        # effects fold) or Uses[()] (declared not-effectful). NOTE: this is NOT yet wired
-        # into `defop`, so it is a validate-if-called helper, not an automatic build-time
-        # gate. Actual enforcement is at `usesof`-time: `_fold_computation_args` raises
-        # `UndeclaredCallable` on an unclassified callable. Wiring generic
-        # `Annotation.infer_annotations` dispatch into op construction is deferred.
-        for name, p in sig.parameters.items():
-            if _is_callable_annotation(p.annotation) and not _has(p.annotation, (_Computation, Uses)):
-                raise TypeError(
-                    f"{name!r}: a callable argument must be declared `Computation` or "
-                    "`Uses[()]` — else its effects would be silently dropped."
-                )
-        return sig
+    checker hard-coding which ops are higher-order.
+
+    Plain read-metadata (like :class:`~effectful.ops.syntax.Uses`), not an
+    :class:`~effectful.ops.types.Annotation` — it is *read* by the fold, not a signature
+    transform. An unclassified callable argument is caught loudly at fold time by
+    :func:`_fold_computation_args`, so no build-time gate is needed."""
 
 
 #: Singleton marker (data-less, like ``IsRecursive``) — use in ``Annotated[C, Computation]``.
@@ -91,25 +85,17 @@ def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
 
 
 @dataclass(frozen=True, init=False)
-class Requires(Annotation):
+class Requires:
     """``Annotated[T, Requires(op, ...)]`` on an *argument*: the value's provenance must
     cover these ops — ``{op,...} ⊆ usesof(arg)``. The precondition dual of ``Uses``
-    (#664)."""
+    (#664). Plain read-metadata (like :class:`~effectful.ops.syntax.Uses`), read by
+    :func:`requires_rule`."""
 
     ops: frozenset[Operation]
 
     def __init__(self, *ops: Operation) -> None:
         object.__setattr__(self, "ops", frozenset(ops))
 
-    @classmethod
-    def infer_annotations(cls, sig: inspect.Signature) -> inspect.Signature:
-        ret = sig.return_annotation
-        if typing.get_origin(ret) is Annotated and any(
-            isinstance(a, cls) for a in typing.get_args(ret)[1:]
-        ):
-            raise TypeError("Requires annotates arguments, not return types.")
-        return sig
-
     def missing(self, arg: Any) -> frozenset[Operation]:
         """Required ops absent from the argument's provenance — the whole check is one
         :func:`usesof`."""
@@ -221,12 +207,6 @@ def _has(annotation: Any, kinds: tuple[type, ...]) -> bool:
     return any(isinstance(a, kinds) for a in _annotations(annotation))
 
 
-def _is_callable_annotation(annotation: Any) -> bool:
-    while typing.get_origin(annotation) is Annotated:
-        annotation = typing.get_args(annotation)[0]
-    return annotation is collections.abc.Callable or typing.get_origin(annotation) is collections.abc.Callable
-
-
 def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
     """Enter each ``Computation`` callback arg (its ops route back through the active
     ``apply`` fold), and refuse any *undeclared* callable arg loudly."""

From 7ae219e9835d42514dac834a789b987ba8917045 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:05:04 +0700
Subject: [PATCH 11/17] address cold review: revert .tools restriction; keep
 static core; upstream-clean docs
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Cold review (CHANGES-REQUESTED) on the L1 .tools mutation:
- P0: restriction on the .tools property is the wrong layer and silently drops
  synthetic LexicalReaders (identity allow-list conflates 'not allow-listed' with
  'is a synthetic reader'). Revert it. Tool restriction is a runtime concern: an
  off-by-default handler that filters the offered tool set (and must leave readers
  untouched) — not a property/return-annotation mutation. Removed the .tools change
  and its test; documented the restriction design as future work.
- P2: import Callable from collections.abc.

The branch keeps the static, sound, no-LLM core it should: toolsof / reachable_tools
/ check_tools + the __uses_rule__ placement + the Computation/Requires demotion. Also
scrubbed docstrings of design-doc section refs and stale 'folds with usesof' wording
(reachable_tools walks the reified term structurally). 115 governance+template+effects,
69 governance+effects+syntax pass.
---
 effectful/handlers/llm/governance.py  | 20 ++++++++------
 effectful/handlers/llm/template.py    | 14 +---------
 effectful/ops/effects.py              | 35 +++++++++++------------
 effectful/ops/syntax.py               |  2 +-
 tests/test_handlers_llm_governance.py | 40 ---------------------------
 5 files changed, 29 insertions(+), 82 deletions(-)

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
index aed994894..7021aed66 100644
--- a/effectful/handlers/llm/governance.py
+++ b/effectful/handlers/llm/governance.py
@@ -4,21 +4,23 @@
 :class:`~effectful.ops.types.Operation` (``class Tool(Operation)``,
 ``class Template(Tool)``), so a template's tools *are* part of its effect row. These are
 the ``ε``-engine siblings specialised to the tool graph — the **static, sound** core of
-§5 tool governance, computable with **no LLM call**:
+tool governance, computable with **no LLM call**:
 
 * :func:`toolsof` — the transitive tool graph reachable from a tool/template via ``.tools``.
 * :func:`reachable_tools` — the tools a zero-arg function can reach, *through* templates,
   by reifying it to a :class:`~effectful.ops.types.Term` (never running the LLM) and
-  folding it with :func:`~effectful.ops.effects.usesof`.
+  walking it for the tools it mentions.
+* :func:`check_tools` — the leak check ``reachable_tools(fn) - allowed``.
 
-``reachable_tools(fn) <= declared`` is then a compile-time tool-safety check (L2): an
-agent provably cannot reach a dangerous tool, even through nested sub-agents. This is
-*more* tractable than the general effect fold — a static named-op graph, so none of the
-higher-order/reifiability caveats of the general case apply.
+``check_tools(fn, *allowed) == frozenset()`` is then a compile-time tool-safety guarantee:
+an agent provably cannot reach a tool outside ``allowed``, even through nested sub-agents.
+This is *more* tractable than the general effect fold — a static named-op graph, so none
+of the higher-order/reifiability caveats of the general case apply.
 """
 
 import collections.abc
-from typing import Any, Callable
+from collections.abc import Callable
+from typing import Any
 
 from effectful.handlers.llm.template import Tool
 from effectful.internals.runtime import interpreter
@@ -100,8 +102,8 @@ def reachable_tools(fn: Callable[[], Any]) -> frozenset[Tool]:
 
 def check_tools(fn: Callable[[], Any], *allowed: Tool) -> frozenset[Tool]:
     """Tools ``fn`` can reach that are not in the ``allowed`` set — the static tool-safety
-    leak check (§5 L2). Empty == ``fn`` provably cannot reach a tool outside ``allowed``,
-    even through nested templates, and **no LLM was called** to prove it.
+    leak check. Empty == ``fn`` provably cannot reach a tool outside ``allowed``, even
+    through nested templates, and **no LLM was called** to prove it.
 
     The tool-graph analogue of :func:`~effectful.ops.effects.check_uses`:
     ``reachable_tools(fn) - allowed``.
diff --git a/effectful/handlers/llm/template.py b/effectful/handlers/llm/template.py
index 804855642..cffda38cf 100644
--- a/effectful/handlers/llm/template.py
+++ b/effectful/handlers/llm/template.py
@@ -216,15 +216,8 @@ def __prompt_template__(self) -> str:
     @property
     def tools(self) -> Mapping[str, Tool]:
         """Operations and Templates available as tools, plus synthetic
-        readers for other lexical symbols. Auto-captured from lexical context.
-
-        If the return type declares an allow-list with ``Uses[...]`` metadata, the
-        lexical capture is intersected with it — the LLM is offered *only* the declared
-        tools. With no ``Uses`` annotation (the default) the full lexical capture is
-        returned, so this is backward-compatible.
-        """
+        readers for other lexical symbols. Auto-captured from lexical context."""
         from effectful.handlers.llm.completions import collect_tools
-        from effectful.ops.syntax import Uses
 
         result = dict(collect_tools(self.__context__))
 
@@ -235,11 +228,6 @@ def tools(self) -> Mapping[str, Tool]:
                 if tool is self:
                     del result[name]
 
-        # A `Uses[...]` return annotation is an allow-list: keep only declared tools.
-        allowed = Uses.declared(self.__signature__)
-        if allowed is not None:
-            result = {name: t for name, t in result.items() if t in allowed}
-
         return result
 
     def __get__[S](self, instance: S | None, owner: type[S] | None = None):
diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 8a8c6c190..6da8f8780 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -1,25 +1,20 @@
-"""Effect-row inference for effectful — the ``ε`` engine.
+"""Effect-row inference — the ``ε`` engine.
 
 Sibling of :func:`effectful.ops.semantics.typeof` / :func:`fvsof`: a fold over the
 universal ``apply`` operation that computes which operations a term performs (its
-**effect row**), plus the ``Uses`` / ``Computation`` / ``Requires`` annotations
-(#448, #664) that operations declare and the fold reads.
+**effect row**), plus the ``Uses`` / ``Computation`` / ``Requires`` annotations that
+operations declare and the fold reads.
 
-This branches off ``master``: #694 (the doctest-validation PR) touches only
-``handlers/llm/`` and **never** ``ops/``, so the engine has no dependency on it. The
-LLM integration (an ``ε`` validator at #694's decode stage + tool governance on its
-``tool_types`` seam) is a separate, later follow-up in ``handlers/llm/``.
-
-**Upstream placement.** The per-op rule and its annotation now live on the core types,
-mirroring the ``τ`` / ``fvs`` machinery exactly:
+The per-op rule and its annotation live on the core types, mirroring the ``τ`` / ``fvs``
+machinery exactly:
 
 ======================  =====================================================
 symbol                  home
 ======================  =====================================================
 ``Operation.__uses_rule__``   ``ops/types.py``, a ``@final`` method next to ``__type_rule__`` / ``__fvs_rule__``
 ``Uses``                    ``ops/syntax.py``, next to ``Scoped`` (read by ``__uses_rule__``)
-``usesof`` / ``effectsof``   this module (final home: ``ops/semantics.py``, next to ``typeof`` / ``fvsof``)
-``Computation`` / ``Requires``   this module (final home: ``ops/syntax.py``); argument annotations read by the fold
+``usesof`` / ``effectsof``   this module (fold, next to ``typeof`` / ``fvsof`` in spirit)
+``Computation`` / ``Requires``   this module; argument annotations read by the fold
 ======================  =====================================================
 
 Like ``Uses``, ``Computation`` and ``Requires`` are plain *read*-metadata, not
@@ -28,13 +23,15 @@
 there is no build-time ``infer_annotations`` gate to wire.
 
 The static LLM tool-governance layer (``toolsof`` / ``reachable_tools`` / ``check_tools``
-and ``Uses``-restricted ``Template.tools``) is built on top of this in
-``handlers/llm/governance.py`` and ``handlers/llm/template.py``.
-
-**Deferred (not implemented yet):** ``usagesof`` (usage multiset) and handler discharge
-(2nd PR); polymorphic ``Operation[[A], B]`` ``Uses`` members; the autumn thin consumer;
-and the runtime LLM layer (Branch B, off #694) — the ``ε``-validator at the decode seam
-and ``tool_choice`` forcing. This module is the ``ε`` core (fold + argument annotations).
+— transitive tool-graph reachability with no LLM call) is built on top of this in
+``handlers/llm/governance.py``.
+
+**Not yet implemented:** ``usagesof`` (usage multiset) and handler discharge; polymorphic
+``Operation[[A], B]`` ``Uses`` members; and the *runtime* LLM tool-governance layer — tool
+**restriction** as an off-by-default handler filtering the offered tool set (which must
+leave synthetic ``LexicalReaders`` tools untouched — they are prompt-variable plumbing,
+not effectful tools), a decode-time ``ε`` validator, and ``tool_choice`` forcing. This
+module is the ``ε`` core (fold + argument annotations).
 """
 
 import typing
diff --git a/effectful/ops/syntax.py b/effectful/ops/syntax.py
index 36168c01d..2c03931fe 100644
--- a/effectful/ops/syntax.py
+++ b/effectful/ops/syntax.py
@@ -412,7 +412,7 @@ def _member_ops(m: Any) -> frozenset[Operation]:
             return frozenset({m})
         raise NotImplementedError(  # loud, not a silent frozenset() drop
             f"Uses member {m!r} is not supported: use `Literal[op]` or a bare `Operation`. "
-            "Polymorphic `Operation[[A], B]` members are a TODO (#448 §8 Q4)."
+            "Polymorphic `Operation[[A], B]` members are not yet supported."
         )
 
     @classmethod
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 25e5fe073..305930570 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -4,13 +4,10 @@
 one, can reach — computed by reifying to a Term and folding, never running the LLM.
 """
 
-from typing import Annotated
-
 from effectful.handlers.llm.governance import check_tools, reachable_tools, toolsof
 from effectful.handlers.llm.template import Template, Tool
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply
-from effectful.ops.syntax import Uses
 
 
 def _trip_planner():
@@ -73,43 +70,6 @@ def test_reachable_tools_is_the_leak_check():
     assert leak == frozenset({delete_everything})  # flagged, LLM never called
 
 
-def test_uses_restricts_template_tools_to_the_allow_list():
-    # L1: a `Uses[...]` return annotation makes `.tools` an allow-list. With cities,
-    # weather and delete_everything all in scope, a template declaring `Uses[cities]`
-    # is offered only cities — the dangerous tool is never even presented to the LLM.
-    @Tool.define
-    def cities() -> list[str]:
-        """Return a list of cities."""
-        return ["Chicago"]
-
-    @Tool.define
-    def weather(city: str) -> str:
-        """Return the weather."""
-        return "sunny"
-
-    @Tool.define
-    def delete_everything() -> None:
-        """Dangerous."""
-        raise RuntimeError
-
-    @Template.define
-    def restricted() -> Annotated[str, Uses[cities]]:
-        """Suggest a city using only `cities`."""
-        raise NotImplementedError
-
-    @Template.define
-    def unrestricted() -> str:
-        """Suggest a city."""
-        raise NotImplementedError
-
-    assert set(restricted.tools.values()) == {cities}
-    # the restriction flows transitively — the dangerous tool drops out of reachability
-    assert delete_everything not in toolsof(restricted)
-    assert delete_everything not in reachable_tools(lambda: restricted())
-    # default (no Uses) is unchanged: full lexical capture, dangerous tool included
-    assert {cities, weather, delete_everything} <= set(unrestricted.tools.values())
-
-
 def test_check_tools_flags_the_leak():
     # check_tools = reachable_tools - allowed; the L2 tool-safety check (no LLM).
     suggest_city, delete_everything, my_fn = _trip_planner()

From 88994dba39665908a7097814ee5ffb1c77b2ecdf Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:11:38 +0700
Subject: [PATCH 12/17] chore: untrack uv.lock (accidentally swept into an
 earlier commit; not tracked on master)

---
 uv.lock | 3744 -------------------------------------------------------
 1 file changed, 3744 deletions(-)
 delete mode 100644 uv.lock

diff --git a/uv.lock b/uv.lock
deleted file mode 100644
index 212ef65c0..000000000
--- a/uv.lock
+++ /dev/null
@@ -1,3744 +0,0 @@
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From 4cc69cefbf5143ff25820f1806c4a736e213db01 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:23:38 +0700
Subject: [PATCH 13/17] address whole-branch review: close soundness holes +
 honest contracts
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

P0-1 (silent under-approximation): _Opaque only guarded 4 dunders, so a
Computation callback inspecting its arg via __eq__ (identity -> False dropped a
branch) or arithmetic/len/call leaked a raw TypeError or silently under-collected.
Make _Opaque default-deny: bind every inspection dunder (comparisons, arithmetic +
reflected/inplace, len/iter/index, call, attr, format, ...) to a loud
UnsoundCallbackFold; exclude _Opaque from the undeclared-callable check so
pass-through still folds. Adversarial tests cover the operator families.

P0-2 (overclaimed guarantee): reachable_tools runs fn's own body, so native
control flow is resolved at analysis time. Drop 'compile-time/provable' absolutes;
document the straight-line precondition honestly.

P1-1 (readers flagged as leaks): toolsof/_tools_in swept in synthetic
LexicalReaders tools. Add _is_governed to exclude them; law test: the governed
graph is invariant to whether readers are exposed.

P1-3 (thin Requires coverage): add law-based tests (transitive provenance,
partial-missing, per-arg/keyword, absent-annotation) — keeps it symmetric with
check_uses. P2: parenthesize set precedence in tests; import Uses from its home
(syntax); drop the effects re-export. 178 tests pass; ruff clean.
---
 effectful/handlers/llm/governance.py  |   48 +-
 effectful/ops/effects.py              |   57 +-
 tests/test_effects.py                 |   70 +-
 tests/test_handlers_llm_governance.py |   39 +-
 uv.lock                               | 3744 +++++++++++++++++++++++++
 5 files changed, 3915 insertions(+), 43 deletions(-)
 create mode 100644 uv.lock

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
index 7021aed66..c46712b39 100644
--- a/effectful/handlers/llm/governance.py
+++ b/effectful/handlers/llm/governance.py
@@ -2,26 +2,31 @@
 
 A :class:`~effectful.handlers.llm.template.Tool` **is** an
 :class:`~effectful.ops.types.Operation` (``class Tool(Operation)``,
-``class Template(Tool)``), so a template's tools *are* part of its effect row. These are
-the ``ε``-engine siblings specialised to the tool graph — the **static, sound** core of
-tool governance, computable with **no LLM call**:
+``class Template(Tool)``), so a template's tools *are* part of its effect row. These
+compute the tool graph without ever calling the LLM:
 
 * :func:`toolsof` — the transitive tool graph reachable from a tool/template via ``.tools``.
+  Fully static: it reads lexically-captured ``.tools`` mappings, nothing is executed.
 * :func:`reachable_tools` — the tools a zero-arg function can reach, *through* templates,
-  by reifying it to a :class:`~effectful.ops.types.Term` (never running the LLM) and
-  walking it for the tools it mentions.
+  by reifying it to a :class:`~effectful.ops.types.Term` (never running the LLM or any
+  tool body) and walking it for the tools it mentions, then expanding via :func:`toolsof`.
 * :func:`check_tools` — the leak check ``reachable_tools(fn) - allowed``.
 
-``check_tools(fn, *allowed) == frozenset()`` is then a compile-time tool-safety guarantee:
-an agent provably cannot reach a tool outside ``allowed``, even through nested sub-agents.
-This is *more* tractable than the general effect fold — a static named-op graph, so none
-of the higher-order/reifiability caveats of the general case apply.
+**Soundness precondition (important).** :func:`reachable_tools` obtains the term by
+*running ``fn``'s own Python body* under a reifying interpretation. Operation calls become
+term nodes, but **native Python control flow in ``fn`` is resolved at analysis time** — an
+untaken ``if``/``for``/``try`` branch contributes no tools. So ``check_tools(fn) == set()``
+is a tool-safety guarantee **only for a straight-line ``fn``** (or one whose branching is
+expressed with reifying conditional *operations*, which fold both arms). It is not a proof
+over arbitrary Python control flow; for a branchy ``fn`` it is the set reached *on this
+reification*, which may under-approximate. Keep governed entry points straight-line.
 """
 
 import collections.abc
 from collections.abc import Callable
 from typing import Any
 
+from effectful.handlers.llm.completions import _LexicalVariableTool
 from effectful.handlers.llm.template import Tool
 from effectful.internals.runtime import interpreter
 from effectful.ops.semantics import apply
@@ -31,16 +36,26 @@
 __all__ = ["toolsof", "reachable_tools", "check_tools"]
 
 
+def _is_governed(tool: Any) -> bool:
+    """A ``Tool`` the governance graph should count. Excludes synthetic
+    :class:`~effectful.handlers.llm.completions._LexicalVariableTool` readers — they are
+    prompt-variable plumbing auto-wrapped from lexical values by ``LexicalReaders``, not
+    tools an agent "reaches", so treating them as reachable would flag plumbing as a leak.
+    """
+    return isinstance(tool, Tool) and not isinstance(tool, _LexicalVariableTool)
+
+
 def _tools_in(term: Any) -> frozenset[Tool]:
-    """Every :class:`Tool` appearing *anywhere* in a reified ``term`` — as an operation
-    or as an argument. ``Tool`` / ``Template`` subclass :class:`~effectful.ops.types.Operation`
-    and define their own ``__apply__``, so a called tool sits in the ``args`` of an
-    ``apply`` node rather than being the node's ``op``; a structural walk catches both.
+    """Every governed :class:`Tool` appearing *anywhere* in a reified ``term`` — as an
+    operation or as an argument. ``Tool`` / ``Template`` subclass
+    :class:`~effectful.ops.types.Operation` and define their own ``__apply__``, so a called
+    tool sits in the ``args`` of an ``apply`` node rather than being the node's ``op``; a
+    structural walk catches both. Synthetic lexical readers are excluded (:func:`_is_governed`).
     """
     found: set[Tool] = set()
 
     def walk(x: Any) -> None:
-        if isinstance(x, Tool):
+        if _is_governed(x):
             found.add(x)
         if isinstance(x, Term):
             walk(x.op)
@@ -65,14 +80,15 @@ def toolsof(tool: Tool) -> frozenset[Tool]:
     (a template's tools are themselves tools, so this closes over sub-agents too).
 
     Fully static — it reads the lexically-captured ``.tools`` mapping, never calls the
-    LLM. ``tool`` itself is *not* included (it is the root, not something it reaches).
+    LLM. ``tool`` itself is *not* included (it is the root, not something it reaches), and
+    synthetic lexical readers are excluded (:func:`_is_governed`).
     """
     seen: set[Tool] = set()
     stack: list[Tool] = [tool]
     while stack:
         cur = stack.pop()
         for sub in getattr(cur, "tools", {}).values():
-            if sub not in seen:
+            if _is_governed(sub) and sub not in seen:
                 seen.add(sub)
                 stack.append(sub)
     return frozenset(seen)
diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 6da8f8780..3907f25a3 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -44,7 +44,6 @@
 from effectful.ops.types import Expr, Operation
 
 __all__ = [
-    "Uses",
     "Computation",
     "Requires",
     "UndeclaredCallable",
@@ -217,7 +216,7 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
         if _has(p.annotation, (_Computation,)):
             if callable(val):
                 val(_Opaque())  # run under the active interpreter -> its ops fold; loud if it inspects its arg
-        elif callable(val) and not _has(p.annotation, (Uses,)):
+        elif callable(val) and not isinstance(val, _Opaque) and not _has(p.annotation, (Uses,)):
             raise UndeclaredCallable(
                 f"{op}: argument {name!r} is callable but not declared `Computation`/`Uses[()]`; "
                 "its effects can't be soundly folded — annotate it, or the check is unsound."
@@ -227,22 +226,54 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
 def _refuse(*_a: Any, **_k: Any) -> Any:
     raise UnsoundCallbackFold(
         "usesof ran a Computation callback on an opaque placeholder to collect its "
-        "effects, but the callback inspected its argument (branched on it, accessed an "
-        "attribute, or destructured it). Folding it on a fake value would "
-        "path/structure-under-approximate; refusing rather than under-approximating."
+        "effects, but the callback *inspected* its argument (compared it, did arithmetic on "
+        "it, called it, branched on it, took its length, accessed an attribute, iterated or "
+        "indexed it, …). Folding on a fake value would path/structure-under-approximate; "
+        "refusing rather than under-approximating."
     )
 
 
 class _Opaque:
     """Placeholder fed to a ``Computation`` callback so its op-calls fire. Usable only as
-    opaque *data* (passed on to ops); any *inspection* — bool-test, attribute access,
-    iteration, indexing — raises :class:`UnsoundCallbackFold`. So ``lambda x: op()`` and
-    ``lambda x: op(x)`` fold soundly, while ``lambda x: a() if x else b()`` or
-    ``lambda x: x.field`` are refused loudly rather than folded on a fake value."""
+    opaque *data* — passed straight through to operations, which never inspect their
+    argument *values* under the fold. **Any** other use (comparison, arithmetic, ``len``,
+    ``bool``, call, attribute access, iteration, indexing, formatting, …) raises
+    :class:`UnsoundCallbackFold`. So ``lambda x: op()`` and ``lambda x: op(x)`` fold
+    soundly, while ``lambda x: a() if x == 0 else b()``, ``lambda x: op(x + 1)`` or
+    ``lambda x: x.field`` are refused *loudly* — never silently folded on a fake value.
+
+    The refusal is default-deny: every inspection dunder is bound to :func:`_refuse`
+    (below), so an operator we did not anticipate raises rather than silently returning a
+    wrong answer (e.g. the identity ``__eq__`` would return ``False`` and drop a branch)."""
 
     __slots__ = ()
 
-    __bool__ = _refuse
-    __getattr__ = _refuse
-    __iter__ = _refuse
-    __getitem__ = _refuse
+
+# Default-deny: bind every operation a callback could perform on its argument — other than
+# handing it to an op — to a loud refusal. Enumerated so a missed operator fails closed.
+_INSPECTION_DUNDERS = (
+    # truth / identity / hashing / formatting / conversions
+    "__bool__", "__hash__", "__eq__", "__ne__", "__repr__", "__str__", "__format__",
+    "__bytes__", "__int__", "__float__", "__complex__", "__index__", "__round__",
+    "__trunc__", "__floor__", "__ceil__",
+    # ordering
+    "__lt__", "__le__", "__gt__", "__ge__",
+    # attribute access / call
+    "__getattr__", "__call__",
+    # container protocol
+    "__len__", "__length_hint__", "__contains__", "__getitem__", "__setitem__",
+    "__delitem__", "__iter__", "__next__", "__reversed__",
+    # context / async
+    "__enter__", "__exit__", "__await__", "__aiter__", "__anext__",
+    # unary numeric
+    "__neg__", "__pos__", "__abs__", "__invert__",
+)
+# binary numeric, plus reflected (r) and in-place (i) forms
+for _binop in (
+    "add", "sub", "mul", "matmul", "truediv", "floordiv", "mod", "divmod", "pow",
+    "lshift", "rshift", "and", "xor", "or",
+):
+    _INSPECTION_DUNDERS += (f"__{_binop}__", f"__r{_binop}__", f"__i{_binop}__")
+
+for _dunder in _INSPECTION_DUNDERS:
+    setattr(_Opaque, _dunder, _refuse)
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 259d54ed7..25fbabee8 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -11,13 +11,12 @@
     Requires,
     UndeclaredCallable,
     UnsoundCallbackFold,
-    Uses,
     check_requires,
     check_uses,
     effect_type,
     usesof,
 )
-from effectful.ops.syntax import defop
+from effectful.ops.syntax import Uses, defop
 from effectful.ops.types import NotHandled
 
 
@@ -67,12 +66,23 @@ def test_computation_callback_inspecting_arg_is_refused_not_silent():
     def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
         raise NotHandled
 
-    # branches on the arg -> would drop a branch if folded on a fake value -> refuse loudly
-    with pytest.raises(UnsoundCallbackFold):
-        usesof(cb(lambda x: write(x) if x else read()))  # type: ignore[func-returns-value]
-    # destructures the arg -> refuse loudly (not silently swallowed)
-    with pytest.raises(UnsoundCallbackFold):
-        usesof(cb(lambda x: x.field))
+    # Every way of *inspecting* the arg must refuse loudly — never fold on a fake value
+    # (which would silently drop a branch) and never leak a raw TypeError. The refusal is
+    # default-deny, so these cover the operator families, not a hand-picked few.
+    inspecting = [
+        lambda x: write(x) if x else read(),        # truthiness branch
+        lambda x: write(x) if x == 0 else read(),   # __eq__ branch (identity would say False)
+        lambda x: write(x) if x < 1 else read(),    # ordering branch
+        lambda x: write(x + 1),                     # arithmetic
+        lambda x: write(len(x)),                    # __len__
+        lambda x: write(str(x)),                    # formatting/conversion
+        lambda x: x(),                              # calls the arg
+        lambda x: x.field,                          # attribute access
+        lambda x: x[0],                             # indexing
+    ]
+    for cb_fn in inspecting:
+        with pytest.raises(UnsoundCallbackFold):
+            usesof(cb(cb_fn))  # type: ignore[func-returns-value]
 
 
 def test_undeclared_callable_fails_loudly():
@@ -105,3 +115,47 @@ def sink(x: Annotated[int, Requires(read)]) -> None:
 
     assert check_requires(sink(read())) == {}  # x came from read
     assert check_requires(sink(pure_add(1, 1))) == {sink: {"x": frozenset({read})}}
+
+
+def test_requires_provenance_holds_transitively():
+    # provenance is the arg's whole effect row, so a required op reached *through* other
+    # ops still satisfies Requires.
+    @defop
+    def sink(x: Annotated[int, Requires(read)]) -> None:
+        raise NotHandled
+
+    # read is under a pure combinator but still in x's row -> satisfied
+    assert check_requires(sink(pure_add(read(), 1))) == {}
+
+
+def test_requires_reports_only_the_missing_ops():
+    # Requires(read, write) on an arg that provides only read -> report just write.
+    @defop
+    def sink(x: Annotated[int, Requires(read, write)]) -> None:
+        raise NotHandled
+
+    assert check_requires(sink(read())) == {sink: {"x": frozenset({write})}}
+    assert check_requires(sink(write(read()))) == {}  # both present -> satisfied
+
+
+def test_requires_is_per_argument_and_by_keyword():
+    # multiple Requires on different params, passed by keyword; each checked independently.
+    @defop
+    def move(
+        src: Annotated[int, Requires(read)],
+        dst: Annotated[int, Requires(write)],
+    ) -> None:
+        raise NotHandled
+
+    assert check_requires(move(src=read(), dst=write(1))) == {}
+    # dst lacks write in its provenance -> only dst flagged
+    assert check_requires(move(src=read(), dst=read())) == {move: {"dst": frozenset({write})}}
+
+
+def test_requires_absent_annotation_is_unconstrained():
+    # an argument with no Requires imposes no provenance obligation.
+    @defop
+    def sink(x: int) -> None:
+        raise NotHandled
+
+    assert check_requires(sink(pure_add(1, 1))) == {}
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 305930570..70d0b46c8 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -1,13 +1,14 @@
-"""L0 static tool governance: ``toolsof`` / ``reachable_tools`` — no LLM call.
+"""Static tool governance: ``toolsof`` / ``reachable_tools`` / ``check_tools`` — no LLM call.
 
-These check the static tool graph (§5): which tools a template, or a function that calls
-one, can reach — computed by reifying to a Term and folding, never running the LLM.
+These check the static tool graph: which tools a template, or a function that calls one,
+can reach — computed by reading ``.tools`` and by reifying to a Term, never running the LLM.
 """
 
+from effectful.handlers.llm.completions import LexicalReaders
 from effectful.handlers.llm.governance import check_tools, reachable_tools, toolsof
 from effectful.handlers.llm.template import Template, Tool
 from effectful.internals.runtime import interpreter
-from effectful.ops.semantics import apply
+from effectful.ops.semantics import apply, handler
 
 
 def _trip_planner():
@@ -65,15 +66,41 @@ def test_reachable_tools_sees_through_a_template_without_calling_the_llm():
 def test_reachable_tools_is_the_leak_check():
     # `reachable_tools(fn) <= declared` is the static tool-safety guarantee.
     suggest_city, delete_everything, my_fn = _trip_planner()
-    declared = {suggest_city} | toolsof(suggest_city) - {delete_everything}
+    declared = {suggest_city} | (toolsof(suggest_city) - {delete_everything})
     leak = reachable_tools(my_fn) - declared
     assert leak == frozenset({delete_everything})  # flagged, LLM never called
 
 
+def test_governed_tool_graph_excludes_synthetic_lexical_readers():
+    # Synthetic LexicalReaders tools are prompt-variable plumbing, not tools an agent
+    # reaches. Law: the governed tool graph is invariant to whether readers are exposed —
+    # so a plain lexical value never gets counted as a reachable tool (and thus never
+    # flagged as a leak).
+    @Tool.define
+    def real_tool() -> int:
+        """A real tool."""
+        return 0
+
+    favorite_city = "Paris"  # a plain lexical value -> becomes a synthetic reader
+
+    @Template.define
+    def t() -> str:
+        """Use {favorite_city} with the real_tool."""
+        raise NotImplementedError
+
+    baseline = toolsof(t)  # no readers exposed
+    with handler(LexicalReaders()):
+        assert "favorite_city" in t.tools  # guard: a synthetic reader really was created
+        with_readers = toolsof(t)
+
+    assert real_tool in baseline
+    assert with_readers == baseline  # readers do not enter the governed graph
+
+
 def test_check_tools_flags_the_leak():
     # check_tools = reachable_tools - allowed; the L2 tool-safety check (no LLM).
     suggest_city, delete_everything, my_fn = _trip_planner()
-    allowed = {suggest_city} | toolsof(suggest_city) - {delete_everything}
+    allowed = {suggest_city} | (toolsof(suggest_city) - {delete_everything})
     assert check_tools(my_fn, *allowed) == frozenset({delete_everything})
     # allowing everything reachable -> no leak
     assert check_tools(my_fn, *reachable_tools(my_fn)) == frozenset()
diff --git a/uv.lock b/uv.lock
new file mode 100644
index 000000000..212ef65c0
--- /dev/null
+++ b/uv.lock
@@ -0,0 +1,3744 @@
+version = 1
+revision = 3
+requires-python = ">=3.12"
+resolution-markers = [
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+    "python_full_version >= '3.13' and python_full_version < '3.15'",
+    "python_full_version < '3.13'",
+]
+
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+]
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+[[package]]
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From b836a63127be40783348d497ba33bc9e363f6752 Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:32:07 +0700
Subject: [PATCH 14/17] P0-1 follow-up: honest _Opaque boundary + pin the
 irreducible holes
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

Adversarial re-review found the default-deny claim still leaked: x.__class__
(existing attr, __getattr__ only fires on a miss) and identity/type checks
(x is None, id(x), type(x), isinstance) bypass the dunder protocol and cannot be
intercepted — a blanket __getattribute__ override was tried but breaks the fold's
own isinstance(arg, Operation) dispatch, so pass-through write(x) would wrongly
refuse. Reframe _Opaque honestly: it is a best-effort tripwire (operator/dunder
protocol + missing-attr access refuse loudly), NOT a soundness guarantee; the real
contract is the straight-line precondition. Drop the 'fails closed' language across
_Opaque/UnsoundCallbackFold/usesof docstrings. Add a documented, pinned
known-limitation test asserting the identity/type/isinstance under-approximation so
it is visible, not hidden. 121 tests pass; ruff clean.
---
 effectful/ops/effects.py | 69 +++++++++++++++++++++++++---------------
 tests/test_effects.py    | 24 +++++++++++++-
 2 files changed, 67 insertions(+), 26 deletions(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 3907f25a3..3ba32329d 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -104,11 +104,15 @@ class UndeclaredCallable(Exception):
 
 
 class UnsoundCallbackFold(Exception):
-    """Raised when folding a ``Computation`` callback that *inspects* its argument
-    (branches on it, accesses its attributes, iterates/indexes it). The fold runs the
-    callback on an opaque placeholder to collect its effects; a callback that inspects
-    that placeholder would path/structure-under-approximate, so the fold refuses loudly
-    (a symbolic-execution provider is needed for such callbacks)."""
+    """Raised when folding a ``Computation`` callback that *inspects* its argument through
+    the operator/dunder protocol (branches on ``==``/``<``, does arithmetic, calls it,
+    accesses a missing attribute, iterates/indexes it). The fold runs the callback on an
+    opaque placeholder (:class:`_Opaque`) to collect its effects; such inspection would
+    path/structure-under-approximate, so the fold refuses loudly. This is a best-effort
+    tripwire — identity (``is``), ``type()``/``isinstance`` and existing-attribute access
+    bypass it (see :class:`_Opaque`); the sound contract is that callbacks stay
+    straight-line in their argument. A symbolic-execution provider would remove the
+    restriction entirely."""
 
 
 # ---------------------------------------------------------------------------
@@ -121,7 +125,9 @@ def usesof[S](term: Expr[S]) -> frozenset[Operation]:
     Each applied op contributes :meth:`Operation.__uses_rule__` (default ``{self}``,
     ``Uses[()]`` = pure). ``Computation``-marked callback args are *entered* so their
     effects fold too; an undeclared callable arg raises :class:`UndeclaredCallable`
-    (never silent).
+    (never silent). Entering a callback runs it on an opaque placeholder, so it is sound
+    only for callbacks that stay straight-line in their argument (pass it to ops, don't
+    inspect it) — most inspection is caught loudly, with the caveats in :class:`_Opaque`.
     """
     used: set[Operation] = set()
 
@@ -216,7 +222,7 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
         if _has(p.annotation, (_Computation,)):
             if callable(val):
                 val(_Opaque())  # run under the active interpreter -> its ops fold; loud if it inspects its arg
-        elif callable(val) and not isinstance(val, _Opaque) and not _has(p.annotation, (Uses,)):
+        elif callable(val) and type(val) is not _Opaque and not _has(p.annotation, (Uses,)):
             raise UndeclaredCallable(
                 f"{op}: argument {name!r} is callable but not declared `Computation`/`Uses[()]`; "
                 "its effects can't be soundly folded — annotate it, or the check is unsound."
@@ -227,38 +233,51 @@ def _refuse(*_a: Any, **_k: Any) -> Any:
     raise UnsoundCallbackFold(
         "usesof ran a Computation callback on an opaque placeholder to collect its "
         "effects, but the callback *inspected* its argument (compared it, did arithmetic on "
-        "it, called it, branched on it, took its length, accessed an attribute, iterated or "
-        "indexed it, …). Folding on a fake value would path/structure-under-approximate; "
-        "refusing rather than under-approximating."
+        "it, called it, took its length, accessed an attribute, iterated or indexed it, …). "
+        "Folding on a fake value would path/structure-under-approximate; refusing rather "
+        "than under-approximating. Write the callback to pass its argument straight to "
+        "operations without inspecting it."
     )
 
 
 class _Opaque:
-    """Placeholder fed to a ``Computation`` callback so its op-calls fire. Usable only as
-    opaque *data* — passed straight through to operations, which never inspect their
-    argument *values* under the fold. **Any** other use (comparison, arithmetic, ``len``,
-    ``bool``, call, attribute access, iteration, indexing, formatting, …) raises
-    :class:`UnsoundCallbackFold`. So ``lambda x: op()`` and ``lambda x: op(x)`` fold
-    soundly, while ``lambda x: a() if x == 0 else b()``, ``lambda x: op(x + 1)`` or
-    ``lambda x: x.field`` are refused *loudly* — never silently folded on a fake value.
-
-    The refusal is default-deny: every inspection dunder is bound to :func:`_refuse`
-    (below), so an operator we did not anticipate raises rather than silently returning a
-    wrong answer (e.g. the identity ``__eq__`` would return ``False`` and drop a branch)."""
+    """Placeholder fed to a ``Computation`` callback so its op-calls fire. It is meant to be
+    used only as opaque *data* — passed straight through to operations, which never inspect
+    their argument *values* under the fold. So ``lambda x: op()`` and ``lambda x: op(x)``
+    fold correctly.
+
+    It is a **best-effort tripwire, not a soundness guarantee.** Inspection that goes
+    through the *type*-level special-method (dunder) protocol — operators (``x + 1``,
+    ``x == 0``, ``x < y``), ``len``, ``bool``, calling (``x()``), *missing*-attribute access
+    (``x.field``), iteration, indexing, formatting — is bound to :func:`_refuse` and raises
+    :class:`UnsoundCallbackFold` *loudly*. But several checks bypass this protocol and
+    **cannot** be intercepted (a blanket ``__getattribute__`` override would also break the
+    fold's own ``isinstance(arg, Operation)`` dispatch), so a callback branching on them
+    silently under-approximates: object **identity** (``x is None``, ``id(x)``), the **type**
+    builtins (``type(x)``, ``isinstance(x, …)``), and access to an **existing** attribute
+    (``x.__class__``). These are the general precondition restated — the fold is a
+    path-insensitive over-approximation of the *reified* term, so a callback doing native
+    control flow on its argument violates the precondition regardless. The tripwire catches
+    the dunder-protocol cases; the rest are the caller's responsibility: keep callbacks
+    straight-line — pass the argument to operations, don't inspect it. See
+    :func:`_INSPECTION_DUNDERS` for the surface covered."""
 
     __slots__ = ()
 
 
-# Default-deny: bind every operation a callback could perform on its argument — other than
-# handing it to an op — to a loud refusal. Enumerated so a missed operator fails closed.
+# Bind the operator/protocol surface a callback could reach through *type*-level dunder
+# lookup to a loud refusal. Enumerated broadly so a missed operator raises rather than
+# silently returning a wrong answer (e.g. the identity ``__eq__`` would return ``False`` and
+# drop a branch). This does not — cannot — cover the identity/type/existing-attribute checks
+# noted in :class:`_Opaque`.
 _INSPECTION_DUNDERS = (
-    # truth / identity / hashing / formatting / conversions
+    # truth / hashing / formatting / conversions
     "__bool__", "__hash__", "__eq__", "__ne__", "__repr__", "__str__", "__format__",
     "__bytes__", "__int__", "__float__", "__complex__", "__index__", "__round__",
     "__trunc__", "__floor__", "__ceil__",
     # ordering
     "__lt__", "__le__", "__gt__", "__ge__",
-    # attribute access / call
+    # missing-attribute access (only fires on a miss) / call
     "__getattr__", "__call__",
     # container protocol
     "__len__", "__length_hint__", "__contains__", "__getitem__", "__setitem__",
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 25fbabee8..8267a5334 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -77,7 +77,7 @@ def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
         lambda x: write(len(x)),                    # __len__
         lambda x: write(str(x)),                    # formatting/conversion
         lambda x: x(),                              # calls the arg
-        lambda x: x.field,                          # attribute access
+        lambda x: x.field,                          # missing-attribute access
         lambda x: x[0],                             # indexing
     ]
     for cb_fn in inspecting:
@@ -85,6 +85,28 @@ def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
             usesof(cb(cb_fn))  # type: ignore[func-returns-value]
 
 
+def test_computation_callback_identity_and_type_inspection_is_a_known_unsound_hole():
+    # KNOWN LIMITATION (documented, not a bug silently ignored): object identity (`is`/`id`),
+    # the type builtins (`type(x)`, `isinstance`), and access to an *existing* attribute
+    # (`x.__class__`) bypass the type-level dunder protocol, so `_Opaque` cannot intercept
+    # them (a blanket `__getattribute__` override would break the fold's own
+    # `isinstance(arg, Operation)` dispatch). A callback branching on them silently
+    # under-approximates. This is the general precondition restated: callbacks must be
+    # straight-line in their argument. The tripwire catches the dunder-protocol cases (see
+    # the test above); these it cannot.
+    @defop
+    def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
+        raise NotHandled
+
+    # `x is None` is False for the placeholder, so only the else-branch folds: read is
+    # dropped. We assert the (unsound) status quo so the limitation is visible and pinned —
+    # if a future sound implementation closes it, this test flips and must be updated.
+    assert usesof(cb(lambda x: read() if x is None else write(x))) == frozenset({cb, write})
+    # `type(x)` / `isinstance` likewise are not intercepted.
+    assert usesof(cb(lambda x: read() if type(x) is str else write(x))) == frozenset({cb, write})
+    assert usesof(cb(lambda x: read() if isinstance(x, str) else write(x))) == frozenset({cb, write})
+
+
 def test_undeclared_callable_fails_loudly():
     @defop
     def bad(fn: Callable[[int], int]) -> int:  # callable arg, not Computation/Uses[()]

From 472d0dd15af2d195ce48fdf263ef3c6d9359d68a Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:37:41 +0700
Subject: [PATCH 15/17] chore: untrack uv.lock again (locally excluded so git
 add -A won't re-add it)

---
 uv.lock | 3744 -------------------------------------------------------
 1 file changed, 3744 deletions(-)
 delete mode 100644 uv.lock

diff --git a/uv.lock b/uv.lock
deleted file mode 100644
index 212ef65c0..000000000
--- a/uv.lock
+++ /dev/null
@@ -1,3744 +0,0 @@
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From cf93c0dfeb7d34dc253b7925aa8ffbbadbb36bcb Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:42:19 +0700
Subject: [PATCH 16/17] final review nits: honest check_tools docstring + pin
 the callable(x) hole
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

APPROVE-WITH-NITS follow-up:
- P1: check_tools function docstring still said 'provably cannot reach ... even
  through nested templates' (the module docstring was already honest). Align it with
  the straight-line-precondition wording — no un-caveated 'provable' on the public API.
- P2: callable(x) is a silent under-approximation (the tripwire binds __call__, so
  callable(_Opaque()) is True). Pin it in the known-limitation test and name it in the
  _Opaque docstring alongside type()/isinstance. 20 tests pass; ruff clean.
---
 effectful/handlers/llm/governance.py | 6 ++++--
 effectful/ops/effects.py             | 5 +++--
 tests/test_effects.py                | 3 +++
 3 files changed, 10 insertions(+), 4 deletions(-)

diff --git a/effectful/handlers/llm/governance.py b/effectful/handlers/llm/governance.py
index c46712b39..0a64e0ac6 100644
--- a/effectful/handlers/llm/governance.py
+++ b/effectful/handlers/llm/governance.py
@@ -118,8 +118,10 @@ def reachable_tools(fn: Callable[[], Any]) -> frozenset[Tool]:
 
 def check_tools(fn: Callable[[], Any], *allowed: Tool) -> frozenset[Tool]:
     """Tools ``fn`` can reach that are not in the ``allowed`` set — the static tool-safety
-    leak check. Empty == ``fn`` provably cannot reach a tool outside ``allowed``, even
-    through nested templates, and **no LLM was called** to prove it.
+    leak check, computed with **no LLM call**. Empty == ``fn`` reaches no tool outside
+    ``allowed`` *on this reification* (including through nested templates); this is a
+    guarantee only for a straight-line ``fn`` — see :func:`reachable_tools` for the
+    precondition (a branchy ``fn`` may under-approximate).
 
     The tool-graph analogue of :func:`~effectful.ops.effects.check_uses`:
     ``reachable_tools(fn) - allowed``.
diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 3ba32329d..3ff49417c 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -254,8 +254,9 @@ class _Opaque:
     **cannot** be intercepted (a blanket ``__getattribute__`` override would also break the
     fold's own ``isinstance(arg, Operation)`` dispatch), so a callback branching on them
     silently under-approximates: object **identity** (``x is None``, ``id(x)``), the **type**
-    builtins (``type(x)``, ``isinstance(x, …)``), and access to an **existing** attribute
-    (``x.__class__``). These are the general precondition restated — the fold is a
+    builtins (``type(x)``, ``isinstance(x, …)``, and ``callable(x)`` — which reads the
+    ``__call__`` bound below and so is always ``True``), and access to an **existing**
+    attribute (``x.__class__``). These are the general precondition restated — the fold is a
     path-insensitive over-approximation of the *reified* term, so a callback doing native
     control flow on its argument violates the precondition regardless. The tripwire catches
     the dunder-protocol cases; the rest are the caller's responsibility: keep callbacks
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 8267a5334..5b88f18f3 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -105,6 +105,9 @@ def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
     # `type(x)` / `isinstance` likewise are not intercepted.
     assert usesof(cb(lambda x: read() if type(x) is str else write(x))) == frozenset({cb, write})
     assert usesof(cb(lambda x: read() if isinstance(x, str) else write(x))) == frozenset({cb, write})
+    # `callable(x)` reads the tripwire's own __call__ binding (True), not the real arg, so it
+    # takes the *then* branch — the opposite under-approximation, but the same class of hole.
+    assert usesof(cb(lambda x: read() if callable(x) else write(x))) == frozenset({cb, read})
 
 
 def test_undeclared_callable_fails_loudly():

From 2505c4531fa750dec672f25548505afedb94b33e Mon Sep 17 00:00:00 2001
From: datvo06 <datvo06@gmail.com>
Date: Sun, 19 Jul 2026 19:50:16 +0700
Subject: [PATCH 17/17] fix CI lint: mypy + ruff

- mypy: annotate _INSPECTION_DUNDERS as tuple[str, ...] (the += widened a
  fixed-length tuple type); drop a now-unused type: ignore in test_effects.
- ruff: import Callable from collections.abc (UP035); use favorite_city in the
  reader test so it is not an unused local (F841); ruff format the two touched
  test/impl files. Also scrub a stale branch/#694 line from the test docstring.
mypy + ruff check + ruff format --diff all clean; 20 tests pass.
---
 effectful/ops/effects.py              | 85 ++++++++++++++++++++++-----
 tests/test_effects.py                 | 51 +++++++++-------
 tests/test_handlers_llm_governance.py |  3 +-
 3 files changed, 102 insertions(+), 37 deletions(-)

diff --git a/effectful/ops/effects.py b/effectful/ops/effects.py
index 3ff49417c..5f9921a37 100644
--- a/effectful/ops/effects.py
+++ b/effectful/ops/effects.py
@@ -163,7 +163,9 @@ def check_uses(op: Operation, body: Expr[Any]) -> frozenset[Operation]:
 # ---------------------------------------------------------------------------
 # Requires verification (upstream: with usesof, in semantics.py)
 # ---------------------------------------------------------------------------
-def requires_rule(op: Operation, *args: Any, **kwargs: Any) -> dict[str, frozenset[Operation]]:
+def requires_rule(
+    op: Operation, *args: Any, **kwargs: Any
+) -> dict[str, frozenset[Operation]]:
     """Per-argument unmet provenance for ``op``: ``{arg_name: missing_ops}``. Empty ==
     every ``Requires`` on ``op`` is satisfied by the given args."""
     bound = op.__signature__.bind(*args, **kwargs)
@@ -171,7 +173,9 @@ def requires_rule(op: Operation, *args: Any, **kwargs: Any) -> dict[str, frozens
     unmet: dict[str, frozenset[Operation]] = {}
     for name, p in op.__signature__.parameters.items():
         for anno in _annotations(p.annotation):
-            if isinstance(anno, Requires) and (m := anno.missing(bound.arguments[name])):
+            if isinstance(anno, Requires) and (
+                m := anno.missing(bound.arguments[name])
+            ):
                 unmet[name] = m
     return unmet
 
@@ -221,8 +225,14 @@ def _fold_computation_args(op: Operation, args: Any, kwargs: Any) -> None:
         val = bound.arguments.get(name)
         if _has(p.annotation, (_Computation,)):
             if callable(val):
-                val(_Opaque())  # run under the active interpreter -> its ops fold; loud if it inspects its arg
-        elif callable(val) and type(val) is not _Opaque and not _has(p.annotation, (Uses,)):
+                val(
+                    _Opaque()
+                )  # run under the active interpreter -> its ops fold; loud if it inspects its arg
+        elif (
+            callable(val)
+            and type(val) is not _Opaque
+            and not _has(p.annotation, (Uses,))
+        ):
             raise UndeclaredCallable(
                 f"{op}: argument {name!r} is callable but not declared `Computation`/`Uses[()]`; "
                 "its effects can't be soundly folded — annotate it, or the check is unsound."
@@ -271,27 +281,70 @@ class _Opaque:
 # silently returning a wrong answer (e.g. the identity ``__eq__`` would return ``False`` and
 # drop a branch). This does not — cannot — cover the identity/type/existing-attribute checks
 # noted in :class:`_Opaque`.
-_INSPECTION_DUNDERS = (
+_INSPECTION_DUNDERS: tuple[str, ...] = (
     # truth / hashing / formatting / conversions
-    "__bool__", "__hash__", "__eq__", "__ne__", "__repr__", "__str__", "__format__",
-    "__bytes__", "__int__", "__float__", "__complex__", "__index__", "__round__",
-    "__trunc__", "__floor__", "__ceil__",
+    "__bool__",
+    "__hash__",
+    "__eq__",
+    "__ne__",
+    "__repr__",
+    "__str__",
+    "__format__",
+    "__bytes__",
+    "__int__",
+    "__float__",
+    "__complex__",
+    "__index__",
+    "__round__",
+    "__trunc__",
+    "__floor__",
+    "__ceil__",
     # ordering
-    "__lt__", "__le__", "__gt__", "__ge__",
+    "__lt__",
+    "__le__",
+    "__gt__",
+    "__ge__",
     # missing-attribute access (only fires on a miss) / call
-    "__getattr__", "__call__",
+    "__getattr__",
+    "__call__",
     # container protocol
-    "__len__", "__length_hint__", "__contains__", "__getitem__", "__setitem__",
-    "__delitem__", "__iter__", "__next__", "__reversed__",
+    "__len__",
+    "__length_hint__",
+    "__contains__",
+    "__getitem__",
+    "__setitem__",
+    "__delitem__",
+    "__iter__",
+    "__next__",
+    "__reversed__",
     # context / async
-    "__enter__", "__exit__", "__await__", "__aiter__", "__anext__",
+    "__enter__",
+    "__exit__",
+    "__await__",
+    "__aiter__",
+    "__anext__",
     # unary numeric
-    "__neg__", "__pos__", "__abs__", "__invert__",
+    "__neg__",
+    "__pos__",
+    "__abs__",
+    "__invert__",
 )
 # binary numeric, plus reflected (r) and in-place (i) forms
 for _binop in (
-    "add", "sub", "mul", "matmul", "truediv", "floordiv", "mod", "divmod", "pow",
-    "lshift", "rshift", "and", "xor", "or",
+    "add",
+    "sub",
+    "mul",
+    "matmul",
+    "truediv",
+    "floordiv",
+    "mod",
+    "divmod",
+    "pow",
+    "lshift",
+    "rshift",
+    "and",
+    "xor",
+    "or",
 ):
     _INSPECTION_DUNDERS += (f"__{_binop}__", f"__r{_binop}__", f"__i{_binop}__")
 
diff --git a/tests/test_effects.py b/tests/test_effects.py
index 5b88f18f3..701837e6a 100644
--- a/tests/test_effects.py
+++ b/tests/test_effects.py
@@ -1,8 +1,7 @@
-"""The effect-row engine (``ε``): ``usesof`` / ``Uses`` / ``Computation`` / ``Requires``.
+"""The effect-row engine (``ε``): ``usesof`` / ``Uses`` / ``Computation`` / ``Requires``."""
 
-Branches off ``master`` — the engine lives in ``ops/`` and does not depend on #694.
-"""
-from typing import Annotated, Callable
+from collections.abc import Callable
+from typing import Annotated
 
 import pytest
 
@@ -70,19 +69,21 @@ def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
     # (which would silently drop a branch) and never leak a raw TypeError. The refusal is
     # default-deny, so these cover the operator families, not a hand-picked few.
     inspecting = [
-        lambda x: write(x) if x else read(),        # truthiness branch
-        lambda x: write(x) if x == 0 else read(),   # __eq__ branch (identity would say False)
-        lambda x: write(x) if x < 1 else read(),    # ordering branch
-        lambda x: write(x + 1),                     # arithmetic
-        lambda x: write(len(x)),                    # __len__
-        lambda x: write(str(x)),                    # formatting/conversion
-        lambda x: x(),                              # calls the arg
-        lambda x: x.field,                          # missing-attribute access
-        lambda x: x[0],                             # indexing
+        lambda x: write(x) if x else read(),  # truthiness branch
+        lambda x: (
+            write(x) if x == 0 else read()
+        ),  # __eq__ branch (identity would say False)
+        lambda x: write(x) if x < 1 else read(),  # ordering branch
+        lambda x: write(x + 1),  # arithmetic
+        lambda x: write(len(x)),  # __len__
+        lambda x: write(str(x)),  # formatting/conversion
+        lambda x: x(),  # calls the arg
+        lambda x: x.field,  # missing-attribute access
+        lambda x: x[0],  # indexing
     ]
     for cb_fn in inspecting:
         with pytest.raises(UnsoundCallbackFold):
-            usesof(cb(cb_fn))  # type: ignore[func-returns-value]
+            usesof(cb(cb_fn))
 
 
 def test_computation_callback_identity_and_type_inspection_is_a_known_unsound_hole():
@@ -101,13 +102,21 @@ def cb(fn: Annotated[Callable[[int], int], Computation]) -> int:
     # `x is None` is False for the placeholder, so only the else-branch folds: read is
     # dropped. We assert the (unsound) status quo so the limitation is visible and pinned —
     # if a future sound implementation closes it, this test flips and must be updated.
-    assert usesof(cb(lambda x: read() if x is None else write(x))) == frozenset({cb, write})
+    assert usesof(cb(lambda x: read() if x is None else write(x))) == frozenset(
+        {cb, write}
+    )
     # `type(x)` / `isinstance` likewise are not intercepted.
-    assert usesof(cb(lambda x: read() if type(x) is str else write(x))) == frozenset({cb, write})
-    assert usesof(cb(lambda x: read() if isinstance(x, str) else write(x))) == frozenset({cb, write})
+    assert usesof(cb(lambda x: read() if type(x) is str else write(x))) == frozenset(
+        {cb, write}
+    )
+    assert usesof(
+        cb(lambda x: read() if isinstance(x, str) else write(x))
+    ) == frozenset({cb, write})
     # `callable(x)` reads the tripwire's own __call__ binding (True), not the real arg, so it
     # takes the *then* branch — the opposite under-approximation, but the same class of hole.
-    assert usesof(cb(lambda x: read() if callable(x) else write(x))) == frozenset({cb, read})
+    assert usesof(cb(lambda x: read() if callable(x) else write(x))) == frozenset(
+        {cb, read}
+    )
 
 
 def test_undeclared_callable_fails_loudly():
@@ -129,7 +138,7 @@ def test_check_uses_flags_undeclared_effects():
     def declared() -> Annotated[int, Uses[read]]:  # declares read only
         raise NotHandled
 
-    assert check_uses(declared, read()) == frozenset()          # body ⊆ declared
+    assert check_uses(declared, read()) == frozenset()  # body ⊆ declared
     assert check_uses(declared, write(read())) == frozenset({write})  # write undeclared
 
 
@@ -174,7 +183,9 @@ def move(
 
     assert check_requires(move(src=read(), dst=write(1))) == {}
     # dst lacks write in its provenance -> only dst flagged
-    assert check_requires(move(src=read(), dst=read())) == {move: {"dst": frozenset({write})}}
+    assert check_requires(move(src=read(), dst=read())) == {
+        move: {"dst": frozenset({write})}
+    }
 
 
 def test_requires_absent_annotation_is_unconstrained():
diff --git a/tests/test_handlers_llm_governance.py b/tests/test_handlers_llm_governance.py
index 70d0b46c8..76a7f8bf3 100644
--- a/tests/test_handlers_llm_governance.py
+++ b/tests/test_handlers_llm_governance.py
@@ -90,7 +90,8 @@ def t() -> str:
 
     baseline = toolsof(t)  # no readers exposed
     with handler(LexicalReaders()):
-        assert "favorite_city" in t.tools  # guard: a synthetic reader really was created
+        # guard: a synthetic reader really was created, snapshotting the lexical value
+        assert t.tools["favorite_city"]() == favorite_city
         with_readers = toolsof(t)
 
     assert real_tool in baseline