4 years ago

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

Thomas Seiller, Tom Hirschowitz, Clovis Eberhart

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 testing equivalence in the model and show that our interpretation is intensionally fully abstract for it. That is, the interpretation preserves and reflects fair testing equivalence; and furthermore, any innocent strategy is fair testing equivalent to the interpretation of some process. The central part of our work is the construction of our sites, relying on a combinatorial presentation of $\pi$-calculus traces in the spirit of string diagrams.

Publisher URL: http://arxiv.org/abs/1710.06744

DOI: arXiv:1710.06744v1

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