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A Categorical Approach to Simulations

  • Miguel Palomino
  • José Meseguer
  • Narciso Martí-Oliet
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3629)

Abstract

Simulations are a very natural way of relating concurrent systems, which are mathematically modeled by Kripke structures. The range of available notions of simulations makes it very natural to adopt a categorical viewpoint in which Kripke structures become the objects of several categories while the morphisms are obtained from the corresponding notion of simulation. Here we define in detail several of those categories, collect them together in various institutions, and study their most interesting properties.

Keywords

Transition System Temporal Logic Categorical Approach Atomic Proposition Label Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Miguel Palomino
    • 1
  • José Meseguer
    • 2
  • Narciso Martí-Oliet
    • 1
  1. 1.Departamento de Sistemas InformáticosUniversidad Complutense de Madrid 
  2. 2.Computer Science DepartmentUniversity of Illinois at Urbana-Champaign 

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