Logics for contravariant simulations

  • Authors:
  • Ignacio Fábregas;David de Frutos Escrig;Miguel Palomino

  • Affiliations:
  • Departamento de Sistemas Informáticos y Computación, UCM;Departamento de Sistemas Informáticos y Computación, UCM;Departamento de Sistemas Informáticos y Computación, UCM

  • Venue:
  • FMOODS'10/FORTE'10 Proceedings of the 12th IFIP WG 6.1 international conference and 30th IFIP WG 6.1 international conference on Formal Techniques for Distributed Systems
  • Year:
  • 2010

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Abstract

Covariant-contravariant simulation and conformance simulation are two generalizations of the simple notion of simulation which aim at capturing the fact that it is not always the case that “the larger the number of behaviors, the better”. Therefore, they can be considered to be more adequate to express the fact that a system is a correct implementation of some specification. We have previously shown that these two more elaborated notions fit well within the categorical framework developed to study the notion of simulation in a generic way. Now we show that their behaviors have also simple and natural logical characterizations, though more elaborated than those for the plain simulation semantics.