Probabilistic Concurrent Kleene Algebra

Annabelle K. McIver, Tahiry Rabehaja, Georg Struth · Electronic Proceedings in Theoretical Computer Science · 2013

We provide an extension of concurrent Kleene algebras to account for probabilistic properties. The algebra yields a unified framework containing nondeterminism, concurrency and probability and is sound with respect to the set of probabilistic automata modulo probabilistic simulation. We use the resulting algebra to generalise the algebraic formulation of a variant of Jones' rely/guarantee calculus.

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