The Complexity of Propositional Proofs

Author:

Segerlind Nathan

Abstract

AbstractPropositional proof complexity is the study of the sizes of propositional proofs, and more generally, the resources necessary to certify propositional tautologies. Questions about proof sizes have connections with computational complexity, theories of arithmetic, and satisfiability algorithms. This is article includes a broad survey of the field, and a technical exposition of some recently developed techniques for proving lower bounds on proof sizes.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference161 articles.

1. A Compressed Breadth-First Search for Satisfiability

2. Hertel P. and Pitassi T. , An exponential time/space speedup for resolution, Technical Report TR07-046, Electronic Colloquium on Computational Complexity, 2007.

3. Razborov A. , Pseudorandom generators hard for k-DNF resolution and polynomial calculus resolution, Submitted to the Journal of Glacial Refereeing. Manuscript available at http://genesis.mi.ras.ru/~razborov/, 2003.

4. Some Consequences of Cryptographical Conjectures forS12and EF

5. Bounded Arithmetic, Propositional Logic and Complexity Theory

Cited by 159 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Generating Extended Resolution Proofs with a BDD-Based SAT Solver;ACM Transactions on Computational Logic;2023-07-25

2. Unit Read-once Refutations for Systems of Difference Constraints;Theory of Computing Systems;2023-07-12

3. Understanding the Relative Strength of QBF CDCL Solvers and QBF Resolution;Logical Methods in Computer Science;2023-04-14

4. Proving the infeasibility of Horn formulas through read-once resolution;Discrete Applied Mathematics;2023-02

5. Hardness Characterisations and Size-width Lower Bounds for QBF Resolution;ACM Transactions on Computational Logic;2023-01-27

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3