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arxiv: 1905.11733 · v2 · pith:GWD67TZLnew · submitted 2019-05-28 · 💻 cs.LO · cs.SC

Confluence by Critical Pair Analysis Revisited (Extended Version)

classification 💻 cs.LO cs.SC
keywords confluencesubsystemterminatingallowinganalysisboilclosednesscombining
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We present two methods for proving confluence of left-linear term rewrite systems. One is hot-decreasingness, combining the parallel/development closedness theorems with rule labelling based on a terminating subsystem. The other is critical-pair-closing system, allowing to boil down the confluence problem to confluence of a special subsystem whose duplicating rules are relatively terminating.

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