English

A weakly monotonic, logically constrained, HORPO-variant

Logic in Computer Science 2024-06-27 v1

Abstract

In this short paper, we present a simple variant of the recursive path ordering, specified for Logically Constrained Simply Typed Rewriting Systems (LCSTRSs). This is a method for curried systems, without lambda but with partially applied function symbols, which can deal with logical constraints. As it is designed for use in the dependency pair framework, it is defined as reduction pair, allowing weak monotonicity.

Cite

@article{arxiv.2406.18493,
  title  = {A weakly monotonic, logically constrained, HORPO-variant},
  author = {Cynthia Kop},
  journal= {arXiv preprint arXiv:2406.18493},
  year   = {2024}
}

Comments

Technical report detailing an adaptation of the method in https://link.springer.com/chapter/10.1007/978-3-031-57267-8_13

R2 v1 2026-06-28T17:20:11.059Z