Collecting semantics under predicate abstraction in the K framework

  • Authors:
  • Irina Măriuca Asăvoae;Mihail Asăvoae

  • Affiliations:
  • Faculty of Computer Science, Alexandru Ioan Cuza University, Iaşi, Romania;Faculty of Computer Science, Alexandru Ioan Cuza University, Iaşi, Romania

  • Venue:
  • WRLA'10 Proceedings of the 8th international conference on Rewriting logic and its applications
  • Year:
  • 2010

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Abstract

The K framework is a specialization of rewriting logic for defining programming language semantics. This paper introduces the model checking with predicate abstraction technique into the K framework. To express this technique in K, we go to the foundations of predicate abstraction, that is abstract interpretation, and use its collecting semantics. As such, we propose a suitable description in K for collecting semantics under predicate abstraction of a simple imperative language. Next, we prove that our K specification for collecting semantics is a sound approximation of the K specification for concrete semantics. This work makes a further step towards the development of program verification methodologies in rewriting logic semantics project in general and the K framework in particular.