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Published in:
2014 | OriginalPaper | Chapter
Proving Confluence of Term Rewriting Systems via Persistency and Decreasing Diagrams
Authors : Takahito Aoto, Yoshihito Toyama, Kazumasa Uchida
Published in: Rewriting and Typed Lambda Calculi
Publisher: Springer International Publishing
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The decreasing diagrams technique (van Oostrom, 1994) has been successfully used to prove confluence of rewrite systems in various ways; using rule-labelling (van Oostrom, 2008), it can also be applied directly to prove confluence of some linear term rewriting systems (TRSs) automatically. Some efforts for extending the rule-labelling are known, but non-left-linear TRSs are left beyond the scope. Two methods for automatically proving confluence of non-(left-)linear TRSs with the rule-labelling are given. The key idea of our methods is to combine the decreasing diagrams technique with persistency of confluence (Aoto & Toyama, 1997).