Recursive Abstractions for Parameterized Systems

  • Authors:
  • Joxan Jaffar;Andrew E. Santosa

  • Affiliations:
  • Department of Computer Science, National University of Singapore, Singapore 117590;Department of Computer Science, National University of Singapore, Singapore 117590

  • Venue:
  • FM '09 Proceedings of the 2nd World Congress on Formal Methods
  • Year:
  • 2009

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Abstract

We consider a language of recursively defined formulas about arrays of variables, suitable for specifying safety properties of parameterized systems. We then present an abstract interpretation framework which translates a paramerized system as a symbolic transition system which propagates such formulas as abstractions of underlying concrete states. The main contribution is a proof method for implications between the formulas, which then provides for an implementation of this abstract interpreter.