Equational abstractions

  • Authors:
  • José Meseguer;Miguel Palomino;Narciso Martí-Oliet

  • Affiliations:
  • Computer Science Department, University of Illinois at Urbana-Champaign, United States;Departamento de Sistemas Informáticos, Universidad Complutense de Madrid, Spain;Departamento de Sistemas Informáticos, Universidad Complutense de Madrid, Spain

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

Abstraction reduces the problem of whether an infinite state system satisfies a temporal logic property to model checking that property on a finite state abstract version. The most common abstractions are quotients of the original system. We present a simple method of defining quotient abstractions by means of equations collapsing the set of states. Our method yields the minimal quotient system together with a set of proof obligations that guarantee its executability and can be discharged with tools such as those in the Maude formal environment.