English

Dependency Pairs Termination in Dependent Type Theory Modulo Rewriting

Logic in Computer Science 2020-07-16 v2

Abstract

Dependency pairs are a key concept at the core of modern automated termination provers for first-order term rewriting systems. In this paper, we introduce an extension of this technique for a large class of dependently-typed higher-order rewriting systems. This extends previous resultsby Wahlstedt on the one hand and the first author on the other hand to strong normalization and non-orthogonal rewriting systems. This new criterion is implemented in the type-checker Dedukti.

Keywords

Cite

@article{arxiv.1906.11649,
  title  = {Dependency Pairs Termination in Dependent Type Theory Modulo Rewriting},
  author = {Frédéric Blanqui and Guillaume Genestier and Olivier Hermant},
  journal= {arXiv preprint arXiv:1906.11649},
  year   = {2020}
}

Comments

FSCD 2019 - 4th International Conference on Formal Structures for Computation and Deduction, Jun 2019, Dortmund, Germany

R2 v1 2026-06-23T10:05:25.414Z