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Interaction Graphs: Exponentials

Thomas Seiller.

This paper is the fourth of a series exposing a systematic combinatorial approach to Girard's Geometry of Interaction (GoI) program. The GoI program aims at obtaining particular realisability models for linear logic that accounts for the dynamics of cut-elimination. This fourth paper tackles the&nbsp;[&hellip;]

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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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