Contextual equivalences in configuration structures and reversibility

Clément Aubert (1, 2) , Ioana Cristescu (3)

1 SPADES - Sound Programming of Adaptive Dependable Embedded Systems
2 LACL - Laboratoire d'Algorithmique Complexité et Logique
3 PPS - Preuves, Programmes et Systèmes

Contextual equivalence equate terms that have the same observable behaviour in any context. A standard contextual equivalence for CCS is the strong barbed congruence. Configuration structures are a denotational semantics for processes in which one define equivalences that are more discriminating, i.e. that distinguish the denotation of terms equated by barbed congruence. Hereditary history preserving bisimulation (HHPB) is such a relation. We define a strong back-and-forth barbed congruence on RCCS, a reversible variant of CCS. We show that the relation induced by the back-and-forth congruence on configuration structures is equivalent to HHPB, thus providing a contextual characterization of HHPB.

Mots clés: Contextual caracterisation; Strong barbed congruence; Process algebras and calculi; Formal semantics; Hereditary history preserving bisimulation; Reversible CCS

Domaines: Logique en informatique [cs.LO]; Logique [math.LO]; Complexité [cs.CC]

Clément Aubert, Ioana Cristescu. Contextual equivalences in configuration structures and reversibility. Journal of Logical and Algebraic Methods in Programming, 2016. ⟨hal-01229408v2⟩