Proving positive almost sure termination under strategies

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Abstract

In last RTA, we introduced the notion of probabilistic rewrite systems and we gave some conditions entailing termination of those systems within a finite mean number of reduction steps. Termination was considered under arbitrary unrestricted policies. Policies correspond to strategies for non-probabilistic rewrite systems. This is often natural or more useful to restrict policies to a subclass. We introduce the notion of positive almost sure termination under strategies, and we provide sufficient criteria to prove termination of a given probabilitic rewrite system under strategies. This is illustrated with several examples.

Original languageEnglish
Title of host publicationTerm Rewriting and Applications - 17th International Conference, RTA 2006, Proceedings
PublisherSpringer Verlag
Pages357-371
Number of pages15
ISBN (Print)3540368345, 9783540368342
DOIs
Publication statusPublished - 1 Jan 2006
Externally publishedYes
Event17th International Conference on Term Rewriting and Applications, RTA 2006 - Seattle, WA, United States
Duration: 12 Aug 200614 Aug 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4098 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th International Conference on Term Rewriting and Applications, RTA 2006
Country/TerritoryUnited States
CitySeattle, WA
Period12/08/0614/08/06

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