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Cartesian closed 2-categories and permutation equivalence in higher-order rewriting

Tom Hirschowitz.

We propose a semantics for permutation equivalence in higher-order rewriting. This semantics takes place in cartesian closed 2-categories, and is proved sound and complete.

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An intensionally fully-abstract sheaf model for $\pi$ (expanded version)

Clovis Eberhart ; Tom Hirschowitz ; Thomas Seiller.

Following previous work on CCS, we propose a compositional model for the $\pi$-calculus in which processes are interpreted as sheaves on certain simple sites. Such sheaves are a concurrent form of innocent strategies, in the sense of Hyland-Ong/Nickau game semantics. We define an analogue of fair&nbsp;[&hellip;]

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Variable binding and substitution for (nameless) dummies

André Hirschowitz ; Tom Hirschowitz ; Ambroise Lafont ; Marco Maggesi.

By abstracting over well-known properties of De Bruijn's representation with nameless dummies, we design a new theory of syntax with variable binding and capture-avoiding substitution. We propose it as a simpler alternative to Fiore, Plotkin, and Turi's approach, with which we establish a strong&nbsp;[&hellip;]

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