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arXiv · 0906.3994

Quantitative testing semantics for non-interleaving

Emmanuel Beffara
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Abstract

This paper presents a non-interleaving denotational semantics for the ?-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.

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Emmanuel Beffara. 2009-06-22. Quantitative testing semantics for non-interleaving. https://arxiv.org/abs/0906.3994

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