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A compositional trace-based semantics for probabilistic automata

  • Session: Probabilistic Automata
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CONCUR '95: Concurrency Theory (CONCUR 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 962))

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We extend the trace semantics for labeled transition systems to a randomized model of concurrent computation. The main objective is to obtain a compositional semantics. The role of a trace in the randomized model is played by a probability distribution over traces, called a trace distribution. We show that the preorder based on trace distribution inclusion is not a precongruence, and we build an elementary context, called the principal context, that is sufficiently powerful to characterize the coarsest precongruence that is contained in the trace distribution preorder. Finally, we introduce a notion of a probabilistic forward simulation and we prove that it is sound for the trace distribution precongruence. An important characteristic of probabilistic forward simulations is that they relate states to probability distributions over states.

Supported by NSF grant CCR-92-25124, by DARPA contract N00014-92-J-4033, and by AFOSRONR contract F49620-94-1-0199.

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Insup Lee Scott A. Smolka

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© 1995 Springer-Verlag Berlin Heidelberg

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Segala, R. (1995). A compositional trace-based semantics for probabilistic automata. In: Lee, I., Smolka, S.A. (eds) CONCUR '95: Concurrency Theory. CONCUR 1995. Lecture Notes in Computer Science, vol 962. Springer, Berlin, Heidelberg.

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60218-7

  • Online ISBN: 978-3-540-44738-2

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