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Refinement patterns for ASTDs

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Formal Aspects of Computing

Abstract

This paper introduces three refinement patterns for algebraic state-transition diagrams (astds): state refinement, transition refinement and loop-transition refinement. These refinement patterns are derived from practice in using astds for specifying information systems and security policies in two industrial research projects. Two refinement relations used in these patterns are formally defined. For each pattern, proof obligations are proposed to ensure preservation of behaviour through refinement. The proposed refinement relations essentially consist in preserving scenarios by replacing abstract events with concrete events, or by introducing new events. Deadlocks cannot be introduced; divergence over new events is allowed in one of the refinement relation. We prove congruence-like properties for these three patterns, in order to show that they can be applied to a subpart of a specification while preserving global properties. These three refinement patterns are illustrated with a simple case study of a complaint management system.

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Authors and Affiliations

  1. GRIL, Département d’informatique, Université de Sherbrooke, 2500 Boulevard Université, Sherbrooke, QC, J1K 2R1, Canada

    Marc Frappier

  2. Département Informatique, LACL, Université Paris-Est, IUT Sénart Fontainebleau, Route Hurtault, 77300, Fontainebleau, France

    Frédéric Gervais, Régine Laleau & Jérémy Milhau

Authors
  1. Marc Frappier
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  2. Frédéric Gervais
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  3. Régine Laleau
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  4. Jérémy Milhau
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Correspondence to Marc Frappier.

Additional information

I. Perseil, P. Gibson, and J.Woodcock

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Frappier, M., Gervais, F., Laleau, R. et al. Refinement patterns for ASTDs. Form Asp Comp 26, 919–941 (2014). https://doi.org/10.1007/s00165-013-0286-3

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