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International Conference on Formal Engineering Methods

ICFEM 2015: Formal Methods and Software Engineering pp 84–99Cite as

A 3-Valued Contraction Model Checking Game: Deciding on the World of Partial Information

Part of the Lecture Notes in Computer Science book series (LNPSE,volume 9407)

Abstract

In this work we address the problem of model checking a desired property specified in Computation Tree Logic (CTL) in the presence of partial information. The Kripke Modal Transition System (KMTS) is used for modelling due its capacity to represent indefinitions explicitly which enables a KMTS interpretation as a set of Kripke structures. In this interpretation a specific model checking algorithm is required that can return one of the three possible values: true when all Kripke models of the set satisfy the property, false when no Kripke models of the set satisfy the property and indefinite when some models satisfy and others do not. To the best of our knowledge the literature lacks a KMTS model checking algorithm that fits this interpretation and in this paper we present an algorithm based on a game approach called a Contraction Model Checking algorithm for this purpose.

Keywords

  • Kripke Modal Transition System (KMTS)
  • Model checking game
  • Partial information

J.S. Ribeiro—This author is supported by the grant # 4576/2014, Bahia Research Foundation (FAPESB).

A. Andrade—This author is supported by the grant # 447178/2014-8, Brazilian Research Council (CNPq).

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Notes

  1. 1.

    Although the CTL semantics consider Kripke structures with total relation transition, such a requirement can be released and we assume a Kripke structure with a partial transition relation instead.

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Authors and Affiliations

  1. Distributed Systems Laboratory (LaSiD) Computer Science Department – Mathematics Institute, Federal University of Bahia, Salvador, Bahia, Brazil

    Jandson S. Ribeiro & Aline Andrade

Authors
  1. Jandson S. Ribeiro
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  2. Aline Andrade
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Correspondence to Jandson S. Ribeiro .

Editor information

Editors and Affiliations

  1. Electronics and Computer Science, University of Southampton, Southampton, United Kingdom

    Michael Butler

  2. Université Paris-Sud, Orsay, France

    Sylvain Conchon

  3. Université Paris-Sud, Orsay, France

    Fatiha Zaïdi

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Ribeiro, J.S., Andrade, A. (2015). A 3-Valued Contraction Model Checking Game: Deciding on the World of Partial Information. In: Butler, M., Conchon, S., Zaïdi, F. (eds) Formal Methods and Software Engineering. ICFEM 2015. Lecture Notes in Computer Science(), vol 9407. Springer, Cham. https://doi.org/10.1007/978-3-319-25423-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-25423-4_6

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