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International Conference on Verification, Model Checking, and Abstract Interpretation

VMCAI 2016: Verification, Model Checking, and Abstract Interpretation pp 372–390Cite as

Parameter Synthesis for Parametric Interval Markov Chains

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9583))

Abstract

Interval Markov Chains (IMCs) are the base of a classic probabilistic specification theory introduced by Larsen and Jonsson in 1991. They are also a popular abstraction for probabilistic systems. In this paper we study parameter synthesis for a parametric extension of Interval Markov Chains in which the endpoints of intervals may be replaced with parameters. In particular, we propose constructions for the synthesis of all parameter values ensuring several properties such as consistency and consistent reachability in both the existential and universal settings with respect to implementations. We also discuss how our constructions can be modified in order to synthesise all parameter values ensuring other typical properties.

This work has been partially supported by project PACS ANR-14-CE28-0002 and Pays de la Loire research project AFSEC.

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Author information

Authors and Affiliations

  1. Université de Nantes, LINA, Nantes, France

    Benoît Delahaye

  2. École Centrale de Nantes, IRCCyN, Nantes, France

    Didier Lime

  3. LIPN, UMR CNRS 7030, Université Paris 13, Sorbonne Paris Cité, Paris, France

    Laure Petrucci

Authors
  1. Benoît Delahaye
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  2. Didier Lime
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  3. Laure Petrucci
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Corresponding author

Correspondence to Benoît Delahaye .

Editor information

Editors and Affiliations

  1. EPFL IC-DO, Lausanne, Switzerland

    Barbara Jobstmann

  2. Microsoft Research, Redmond, Washington, USA

    K. Rustan M. Leino

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Delahaye, B., Lime, D., Petrucci, L. (2016). Parameter Synthesis for Parametric Interval Markov Chains. In: Jobstmann, B., Leino, K. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2016. Lecture Notes in Computer Science(), vol 9583. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49122-5_18

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  • DOI: https://doi.org/10.1007/978-3-662-49122-5_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-49121-8

  • Online ISBN: 978-3-662-49122-5

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