On Probabilistic Term Rewriting

Martin Avanzini 1 Ugo Dal Lago 1, 2 Akihisa Yamada 3
1 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
Abstract : We study the termination problem for probabilistic term rewrite systems. We prove that the interpretation method is sound and complete for a strengthening of positive almost sure termination, when abstract reduction systems and term rewrite systems are considered. Two instances of the interpretation method-polynomial and matrix interpretations-are analyzed and shown to capture interesting and non-trivial examples when automated. We capture probabilistic computation in a novel way by means of multidistribution reduction sequences, thus accounting for both the nondeterminism in the choice of the redex and the probabilism intrinsic in firing each rule.
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Submitted on : Monday, November 19, 2018 - 11:57:53 AM
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Martin Avanzini, Ugo Dal Lago, Akihisa Yamada. On Probabilistic Term Rewriting. Functional and Logic Programming - 14th International Symposium, Proceedings, May 2018, Nagoya, Japan. ⟨hal-01926502⟩

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