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

Clovis Eberhart (1) , Tom Hirschowitz (1) , Thomas Seiller (2)

1 LAMA - Laboratoire de Mathématiques
2 IHES - Institut des Hautes Études Scientifiques

Following previous work on CCS, we propose a compositional model for the π-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 π-calculus traces in the spirit of string diagrams.

Domaines: Logique en informatique [cs.LO]; Langage de programmation [cs.PL]

Clovis Eberhart, Tom Hirschowitz, Thomas Seiller. An intensionally fully-abstract sheaf model for pi (expanded version). Logical Methods in Computer Science, 2017, 13 (4), pp.9. ⟨10.23638/LMCS-13(4:9)2017⟩. ⟨hal-01609945v2⟩