English

Short proofs without interference

Logic in Computer Science 2025-08-14 v1

Abstract

Interference is a phenomenon on proof systems for SAT solving that is both counter-intuitive and bothersome when developing proof-logging techniques. However, all existing proof systems that can produce short proofs for all inprocessing techniques deployed by SAT present this feature. Based on insights from propositional dynamic logic, we propose a framework that eliminates interference while preserving the same expressive power of interference-based proofs. Furthermore, we propose a first building blocks towards RUP-like decision procedures for our dynamic logic-based frameworks, which are essential to developing effective proof checking methods.

Keywords

Cite

@article{arxiv.2508.09851,
  title  = {Short proofs without interference},
  author = {Adrian Rebola-Pardo},
  journal= {arXiv preprint arXiv:2508.09851},
  year   = {2025}
}