Confluence by Critical Pair Analysis Revisited (Extended Version)
arXiv:1905.11733
Abstract
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.
Added a reference to the conference version