AWpi dialect equips the pi-calculus with single-ownership and uni-capability rules so that wires act as identity morphisms, yielding a relative Seely category that supports denotational semantics for higher-order concurrent languages.
In this case the input must originate from𝑃 (as 𝑃 owns the input end)
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Wiring the Pi-calculus to Denotational Semantics
AWpi dialect equips the pi-calculus with single-ownership and uni-capability rules so that wires act as identity morphisms, yielding a relative Seely category that supports denotational semantics for higher-order concurrent languages.