English

The Undecidability of Unification Modulo $\sigma$ Alone

Logic in Computer Science 2023-05-11 v1

Abstract

The rewriting system sigma is the set of rules propagating explicit substitutions in the lambda-calculus with explicit substitutions. In this note, we prove the undecidability of unification modulo sigma.

Keywords

Cite

@article{arxiv.2305.06214,
  title  = {The Undecidability of Unification Modulo $\sigma$ Alone},
  author = {Gilles Dowek},
  journal= {arXiv preprint arXiv:2305.06214},
  year   = {2023}
}
R2 v1 2026-06-28T10:31:09.704Z