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content/computability/recursive-functions/pr-relations.tex

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\begin{align*}
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\Char{P}(\vec x, 0) & = 1\\
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\Char{P}(\vec x, y+1) & =
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\fn{min}(\Char{P}(\vec x, y), \Char{R}(\vec x, y))).
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\fn{min}(\Char{P}(\vec x, y), \Char{R}(\vec x, y)).
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\end{align*}
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Bounded existential quantification can similarly be defined using
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$\fn{max}$. Alternatively, it can be defined from bounded universal

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