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Tutte le Algebre Insieme: Concepts, Discussions and Relations of Stochastic Process Algebras with General Distributions

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Validation of Stochastic Systems

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2925))

Abstract

We report on the state of the art in the formal specification and analysis of concurrent systems whose activity duration depends on general probability distributions. First of all the basic notions and results introduced in the literature are explained and, on this basis, a conceptual classification of the different approaches is presented. We observe that most of the approaches agree on the fact that the specification of systems with general distributions has a three level structure: the process algebra level, the level of symbolic semantics and the level of concrete semantics. Based on such observations, a new very expressive model is introduced for representing timed systems with general distributions. We show that many of the approaches in the literature can be mapped into this model establishing therefore a formal framework to compare these approaches.

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Author information

Authors and Affiliations

  1. Dip. di Scienze dell’Informazione, Università di Bologna, Mura Anteo Zamboni 7, 40127, Bologna, Italy

    Mario Bravetti

  2. CONICET – FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000, Córdoba, Argentina

    Pedro R. D’Argenio

Authors
  1. Mario Bravetti
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  2. Pedro R. D’Argenio
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Computer Science, Technical University Dresden, Germany

    Christel Baier

  2. Centre for Telematics and Information Technology, Faculty for Electrical Engineering, Mathematics and Computer Science, University of Twente, P.O. Box 217, 7500, AE, Netherlands

    Boudewijn R. Haverkort

  3. VASY, INRIA, Grenoble Rhône-Alpes, France

    Holger Hermanns

  4. Software Modeling and Verification, RWTH Aachen University, Germany

    Joost-Pieter Katoen

  5. Institut für Technische Informatik, Universität der Bundeswehr München,  

    Markus Siegle

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Bravetti, M., D’Argenio, P.R. (2004). Tutte le Algebre Insieme: Concepts, Discussions and Relations of Stochastic Process Algebras with General Distributions. In: Baier, C., Haverkort, B.R., Hermanns, H., Katoen, JP., Siegle, M. (eds) Validation of Stochastic Systems. Lecture Notes in Computer Science, vol 2925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24611-4_2

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  • DOI: https://doi.org/10.1007/978-3-540-24611-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22265-1

  • Online ISBN: 978-3-540-24611-4

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