Linear Functional Fixed-points

  • Authors:
  • Nikolaj Bjørner;Joe Hendrix

  • Affiliations:
  • Microsoft, One Microsoft Way, Redmond, USA 98074;Microsoft, One Microsoft Way, Redmond, USA 98074

  • Venue:
  • CAV '09 Proceedings of the 21st International Conference on Computer Aided Verification
  • Year:
  • 2009

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Abstract

We introduce a logic of functional fixed-points. It is suitable for analyzing heap-manipulating programs and can encode several logics used for program verification with different ways of expressing reachability. While full fixed-point logic remains undecidable, several subsets admit decision procedures. In particular, for the logic of linear functional fixed-points, we develop an abstraction refinement integration of the SMT solver Z3 and a satisfiability checker for propositional linear-time temporal logic. The integration refines the temporal abstraction by generating safety formulas until the temporal abstraction is unsatisfiable or a model for it is also a model for the functional fixed-point formula.