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On a Uniform Framework for the Definition of Stochastic Process Languages

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Formal Methods for Industrial Critical Systems (FMICS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5825))

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Abstract

In this paper we show how Rate Transition Systems (RTSs) can be used as a unifying framework for the definition of the semantics of stochastic process algebras. RTSs facilitate the compositional definition of such semantics exploiting operators on the next state functions which are the functional counterpart of classical process algebra operators. We apply this framework to representative fragments of major stochastic process calculi namely TIPP, PEPA and IML and show how they solve the issue of transition multiplicity in a simple and elegant way. We, moreover, show how RTSs help describing different languages, their differences and their similarities. For each calculus, we also show the formal correspondence between the RTSs semantics and the standard SOS one.

Research partially funded by EU IP SENSORIA (contract n. 016004), CNR-RSTL project XXL, FIRB-MUR project TOCAI.IT and by PRIN-MIUR PACO.

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Author information

Authors and Affiliations

  1. Dipartimento di Sistemi e Informatica, Università di Firenze,  

    Rocco de Nicola & Michele Loreti

  2. Istituto di Scienza e Tecnologie dell’Informazione “A. Faedo”, CNR,  

    Diego Latella & Mieke Massink

Authors
  1. Rocco de Nicola
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  2. Diego Latella
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  3. Michele Loreti
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  4. Mieke Massink
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Editor information

Editors and Affiliations

  1. DSIC/ELP, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain

    María Alpuente  & Christophe Joubert  & 

  2. Microsoft Research, Roger Needham Building, J J Thomson Avenue, CB3 0FB, Cambridge, UK

    Byron Cook

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de Nicola, R., Latella, D., Loreti, M., Massink, M. (2009). On a Uniform Framework for the Definition of Stochastic Process Languages. In: Alpuente, M., Cook, B., Joubert, C. (eds) Formal Methods for Industrial Critical Systems. FMICS 2009. Lecture Notes in Computer Science, vol 5825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04570-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-04570-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04569-1

  • Online ISBN: 978-3-642-04570-7

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