Logic of Programs 1983: Logics of Programs pp 458-473 | Cite as

Property preserving homomorphisms of transition systems

  • Joseph Sifakis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 164)


We study functions preserving properties of transition systems described by formulas of a logic.

Let L be a logic for which transition systems constitute a class of models. A formula F of L defines for a given transition system S and interpretation i, a property ; a state q of S satisfies the property represented by F iff
. Given two transition systems S1 and S2 with sets of states respectively Q1 and Q2 and a function f, f : 2Q1→2Q2, we say that f preserves the property represented by F iff

The results presented concern the characterization of functions f which preserve properties independently of the particular choice of S1 and S2 provided that the transition systems be related via homomorphisms of a certain type.


Equivalence Relation Transition Structure Transition System Propositional Variable Label Transition System 
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 1984

Authors and Affiliations

  • Joseph Sifakis
    • 1
  1. 1.IMAGSt-Martin d'Hères CedexFrance

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