Compositional termination proofs for multi-threaded programs

  • Authors:

  • Corneliu Popeea;Andrey Rybalchenko

  • Affiliations:

  • Technische Universität München, Germany;Technische Universität München, Germany

  • Venue:
  • TACAS'12 Proceedings of the 18th international conference on Tools and Algorithms for the Construction and Analysis of Systems
  • Year:
  • 2012

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Abstract

Automated verification of multi-threaded programs is difficult. Direct treatment of all possible thread interleavings by reasoning about the program globally is a prohibitively expensive task, even for small programs. Rely-guarantee reasoning is a promising technique to address this challenge by reducing the verification problem to reasoning about each thread individually with the help of assertions about other threads. In this paper, we propose a proof rule that uses rely-guarantee reasoning for compositional verification of termination properties. The crux of our proof rule lies in its compositionality wrt. the thread structure of the program and wrt. the applied termination arguments --- transition invariants. We present a method for automating the proof rule using an abstraction refinement procedure that is based on solving recursion-free Horn clauses. To deal with termination, we extend an existing Horn-clause solver with the capability to handle well-foundedness constraints. Finally, we present an experimental evaluation of our algorithm on a set of micro-benchmarks.