Technical Report CS0844

TR#:CS0844
Class:CS
Title: INCREMENTAL MODEL CHECKING FOR SAFETY PROPERTIES ON DECOMPOSABLE STRUCTURES.
Authors: J.A. Makowsky and E.V. Ravve
PDFCS0844.pdf
Abstract: Assume we are given a transition system which is composed from several well identified components. We propose a method which allows us to reduce the model checking of Safety and Reachability Properties in the complex system to model checking of derived formulas in Transitive Closure Logic in the components, provided the complex systems is a $\Phi$-sum of its components. The basic idea goes back to a method proposed first by Feferman and Vaught in 1959, which we generalize to Transitive Closure Logic $TC^1$ and adapt it to the specific context of model checking of transition systems. Our method allows for a precise definition of incremental model checking. We give also estimates on when our incremental method starts to be better than traditional methods.
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