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arXiv · 1204.2932

Proving Termination of Probabilistic Programs Using Patterns

Javier Esparza·Andreas Gaiser·Stefan Kiefer
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Abstract

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with probability one ("almost-sure termination"), is an equally important property for randomized algorithms and probabilistic protocols. We suggest a novel algorithm for proving almost-sure termination of probabilistic programs. Our algorithm exploits the power of state-of-the-art model checkers and termination provers for nonprobabilistic programs: it calls such tools within a refinement loop and thereby iteratively constructs a "terminating pattern", which is a set of terminating runs with probability one. We report on various case studies illustrating the effectiveness of our algorithm. As a further application, our algorithm can improve lower bounds on reachability probabilities.

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Javier Esparza, Andreas Gaiser, Stefan Kiefer. 2012-04-13. Proving Termination of Probabilistic Programs Using Patterns. https://arxiv.org/abs/1204.2932

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