Quantitative testing semantics for non-interleaving

Emmanuel Beffara (1)

1 IML - Institut de mathématiques de Luminy

This paper presents a non-interleaving denotational semantics for the π-calculus. The basic idea is to define a notion of test where the outcome is not only whether a given process passes a given test, but also in how many different ways it can pass it. More abstractly, the set of possible outcomes for tests forms a semiring, and the set of process interpretations appears as a module over this semiring, in which basic syntactic constructs are affine operators. This notion of test leads to a trace semantics in which traces are partial orders, in the style of Mazurkiewicz traces, extended with readiness information. Our construction has standard may- and must-testing as special cases.

Domaines: Logique en informatique [cs.LO]

Emmanuel Beffara. Quantitative testing semantics for non-interleaving. 2009. ⟨hal-00397551⟩