Short proofs without interference

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-13
Primary Topic
Logic, programming, and type systems
Type
article
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article

Short proofs without interference

ArXiv.org
Logic, programming, and type systems
article

Short proofs without interference

article en

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.

ArXiv.org
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Openalex Percentile: Top 73%
Logic, programming, and type systems
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Short proofs without interference · ArXiv.org (2025) | TGRS Research Map | TGRS