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International Conference on Algebraic Methodology and Software Technology

AMAST 2002: Algebraic Methodology and Software Technology pp 411–425Cite as

Guarded Transitions in Evolving Specifications

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2422))

Abstract

We represent state machines in the category of specifications, where assignment statements correspond exactly to interpretations between theories [7][8]. However, the guards on an assignment require a special construction. In this paper we raise guards to the same level as assignments by treating each as a distinct category over a shared set of objects. A guarded assignment is represented as a pair of arrows, a guard arrow and an assignment arrow. We give a general construction for combining arrows over a factorization system, and show its specialization to the category of specifications. This construction allows us to define the fine structure of state machine morphisms with respect to guards. Guards define the flow of control in a computation, and how they may be translated under refinement is central to the formal treatment of safety, liveness, concurrency, and determinism.

Supported from the DARPA project “Specification-Carrying Software”, contract number F30602-00-C-0209, and the ONR project “Game Theoretic Framework for Reasoning about Security”, contract number N00014-01-C-0454.

Supported from the DARPA project “Specification-Carrying Software” contract number F30602-00-C-0209.

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Author information

Authors and Affiliations

  1. Kestrel Institute, Palo Alto, 94304, California, USA

    Dusko Pavlovic & Douglas R. Smith

Authors
  1. Dusko Pavlovic
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  2. Douglas R. Smith
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Editor information

Editors and Affiliations

  1. LORIA - CNRS & INRIA, Campus Scientifique, Bâtiment LORIA, BP 239, 54506, Vandoeuvre-lès-Nancy, France

    Hélène Kirchner

  2. LORIA - INRIA, 615, rue du Jardin Botanique, 54602, Villers-lès-Nancy, France

    Christophe Ringeissen

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© 2002 Springer-Verlag Berlin Heidelberg

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Pavlovic, D., Smith, D.R. (2002). Guarded Transitions in Evolving Specifications. In: Kirchner, H., Ringeissen, C. (eds) Algebraic Methodology and Software Technology. AMAST 2002. Lecture Notes in Computer Science, vol 2422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45719-4_28

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  • DOI: https://doi.org/10.1007/3-540-45719-4_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44144-1

  • Online ISBN: 978-3-540-45719-0

  • eBook Packages: Springer Book Archive

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