English

A Verified Decision Procedure for Orders in Isabelle/HOL

Logic in Computer Science 2021-11-25 v2

Abstract

We present the first verified implementation of a decision procedure for the quantifier-free theory of partial and linear orders. We formalise the procedure in Isabelle/HOL and provide a specification that is made executable using Isabelle's code generator. The procedure is already part of the development version of Isabelle as a sub-procedure of the simplifier.

Cite

@article{arxiv.2104.13117,
  title  = {A Verified Decision Procedure for Orders in Isabelle/HOL},
  author = {Lukas Stevens and Tobias Nipkow},
  journal= {arXiv preprint arXiv:2104.13117},
  year   = {2021}
}
R2 v1 2026-06-24T01:33:29.914Z