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An integration of model checking with automated proof checking

  • S. Rajan
  • N. Shankar
  • M. K. Srivas
Session 3: Invited Talk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 939)

Abstract

Although automated proof checking tools for general-purpose logics have been successfully employed in the verification of digital systems, there are inherent limits to the efficient automation of expressive logics. If the expressiveness is constrained, there are useful logic fragments for which efficient decision procedures can be found. The model checking paradigm yields an important class of decision procedures for establishing temporal properties of finite-state systems. Model checking is remarkably effective for automatically verifying finite automata with relatively small state spaces, but is inadequate when the state spaces are either too large or unbounded. For this reason, it is useful to integrate the complementary technologies of model checking and proof checking. Such an integration has to be carried out in a delicate manner in order to be more than just the sum of the techniques. We describe an approach for such an integration where a BDD-based model checker for the propositional mu-calculus has been used as a decision procedure within the framework of the PVS proof checker. We argue that our approach fits in nicely with the design philosophy of PVS of providing highly effective mechanical reasoning capability by using efficient decision procedures as the workhorses of an interactive proof checker.

Keywords

Model Check Temporal Logic Decision Procedure Theorem Prove Binary Decision Diagram 
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 1995

Authors and Affiliations

  • S. Rajan
    • 1
  • N. Shankar
    • 1
  • M. K. Srivas
    • 1
  1. 1.Computer Science LaboratorySRI InternationalMenlo ParkUSA

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