A rendezvous of logic, complexity, and algebra

Author:

Chen Hubie1

Affiliation:

1. Universitat Pompeu Fabra, Barcelona, Spain

Abstract

An emerging area of research studies the complexity of constraint satisfaction problems under restricted constraint languages. This article gives a self-contained, contemporary presentation of Schaefer's theorem on Boolean constraint satisfaction, the inaugural result of this area, as well as analogs of this theorem for quantified formulas. Our exposition makes use of and may serve as an introduction to logical and algebraic tools that have recently come into focus.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science,Theoretical Computer Science

Reference58 articles.

1. The Complexity of Satisfiability Problems: Refining Schaefer’s Theorem

2. A linear-time algorithm for testing the truth of certain quantified boolean formulas

3. On Digraph Coloring Problems and Treewidth Duality

4. Bauland M. Böhler E. Creignou N. Reith S. Schnoor H. and Vollmer H. 2005. Quantified constraints: The complexity of decision and counting for bounded alternation. ECCC Tech. rep. TR05-24. http://eccc.uni-trier.de/zear/2005. Bauland M. Böhler E. Creignou N. Reith S. Schnoor H. and Vollmer H. 2005. Quantified constraints: The complexity of decision and counting for bounded alternation. ECCC Tech. rep. TR05-24. http://eccc.uni-trier.de/zear/2005.

5. The Core of a Countably Categorical Structure

Cited by 27 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. SDPs and Robust Satisfiability of Promise CSP;Proceedings of the 55th Annual ACM Symposium on Theory of Computing;2023-06-02

2. Ideal Membership Problem over 3-Element CSPs with Dual Discriminator Polymorphism;SIAM Journal on Discrete Mathematics;2022-08-02

3. Constraint Satisfaction Problems with Global Modular Constraints: Algorithms and Hardness via Polynomial Representations;SIAM Journal on Computing;2022-05-19

4. Testability of relations between permutations;2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS);2022-02

5. The Complexity of the Ideal Membership Problem for Constrained Problems Over the Boolean Domain;ACM Transactions on Algorithms;2021-10-31

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