English

Confluence by Critical Pair Analysis Revisited (Extended Version)

Logic in Computer Science 2019-06-04 v2 Symbolic Computation

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.

Keywords

Cite

@article{arxiv.1905.11733,
  title  = {Confluence by Critical Pair Analysis Revisited (Extended Version)},
  author = {Nao Hirokawa and Julian Nagele and Vincent van Oostrom and Michio Oyamaguchi},
  journal= {arXiv preprint arXiv:1905.11733},
  year   = {2019}
}

Comments

Added a reference to the conference version

R2 v1 2026-06-23T09:28:42.209Z