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Acceptance trees for probabilistic processes

  • 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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Abstract

In this paper we study the extension of classical testing theory to a probabilistic process algebra. We consider a generative interpretation of probabilities for a language with two choice operators (one internal and the other external), which are annotated with a probability p ε (0, 1). We define a testing semantics for our language, and we write P pass p T to denote that the process P passes the test T with a probability p. We also give a set of essential tests which has the same strength as the full family of tests.Next we give an alternative characterization of the testing semantics, based on the idea of acceptance sets, and we prove that the new equivalence is equal to the testing equivalence. Finally, we present a fully abstract denotational semantics based on acceptance trees.

Research partially supported by the CICYT project TIC 94-0851-C02-02

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Insup Lee Scott A. Smolka

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© 1995 Springer-Verlag Berlin Heidelberg

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Núñez, M., de Frutos, D., Llana, L. (1995). Acceptance trees for probabilistic processes. In: Lee, I., Smolka, S.A. (eds) CONCUR '95: Concurrency Theory. CONCUR 1995. Lecture Notes in Computer Science, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60218-6_18

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  • DOI: https://doi.org/10.1007/3-540-60218-6_18

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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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