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An Assume-Guarantee Rule for Checking Simulation

  • Thomas A. Henzinger
  • Shaz Qadeer
  • Sriram K. Rajamani
  • Serdar TaŞiran
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1522)

Abstract

The simulation preorder on state transition systems is widely accepted as a useful notion of refinement, both in its own right and as an efficiently checkable sufficient condition for trace containment. For composite systems, due to the exponential explosion of the state space, there is a need for decomposing a simulation check of the form P< s Q into simpler simulation checks on the components of P and Q. We present an assume-guarantee rule that enables such a decomposition. To the best of our knowledge, this is the first assume-guarantee rule that applies to a refinement relation different from trace containment. Our rule is circular, and its soundness proof requires induction on trace trees. The proof is constructive: given simulation relations that witness the simulation preorder between corresponding components of P and Q, we provide a procedure for constructing a witness relation for P< s Q. We also extend our assume-guarantee rule to account for fairness assumptions on transition systems.

Keywords

Simulation Relation Fairness Constraint State Transition System Fairness Assumption Tree Containment 
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 1998

Authors and Affiliations

  • Thomas A. Henzinger
    • 1
  • Shaz Qadeer
    • 1
  • Sriram K. Rajamani
    • 1
  • Serdar TaŞiran
    • 1
  1. 1.EECS DepartmentUniversity of California at BerkeleyUSA

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