3 results
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.
Published on September 4, 2013
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 […]
Published on November 15, 2017
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 […]
Published on March 1, 2024