Confluence by Critical Pair Analysis Revisited (Extended Version)

05/28/2019

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by   Nao Hirokawa, et al.

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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.