Automated Software Engineering

, Volume 6, Issue 1, pp 69–95

Refining Model Checking by Abstract Interpretation

  • Patrick Cousot
  • Radhia Cousot

DOI: 10.1023/A:1008649901864

Cite this article as:
Cousot, P. & Cousot, R. Automated Software Engineering (1999) 6: 69. doi:10.1023/A:1008649901864


Formal methods combining abstract interpretation and model-checking have been considered for automated analysis of software.

In abstract model-checking, the semantics of an infinite transition system is abstracted to get a finite approximation on which temporal-logic/μ-calculus model-checking can be directly applied.

The paper proposes two improvements of abstract model-checking which can be applied to infinite abstract transition systems:

iA new combination of forwards and backwards abstract fixed-point model-checking computations for universal safety. It computes a more precise result than that computed by conjunction of the forward and backward analyses alone, without needing to refine the abstraction;

When abstraction is unsound (as can happen in minimum/maximum path-length problems), it is proposed to use the partial results of a classical combination of forward and backward abstract interpretation analyses for universal safety in order to reduce, on-the-fly, the concrete state space to be searched by model-checking.

model-checking abstract interpretation static analysis transition system universal safety 

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Patrick Cousot
    • 1
    • 2
  • Radhia Cousot
    • 1
    • 2
  1. 1.École Normale Supérieure, DMIParis cedex 05France
  2. 2.CNRS & École Polytechnique, LIXPalaiseau cedexFrance

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