English

Type safety of rewrite rules in dependent types

Logic in Computer Science 2020-11-02 v1 Programming Languages

Abstract

The expressiveness of dependent type theory can be extended by identifying types modulo some additional computation rules. But, for preserving the decidability of type-checking or the logical consistency of the system, one must make sure that those user-defined rewriting rules preserve typing. In this paper, we give a new method to check that property using Knuth-Bendix completion.

Keywords

Cite

@article{arxiv.2010.16111,
  title  = {Type safety of rewrite rules in dependent types},
  author = {Frédéric Blanqui},
  journal= {arXiv preprint arXiv:2010.16111},
  year   = {2020}
}
R2 v1 2026-06-23T19:46:12.457Z