Constraint Satisfaction Problems Solvable by Local Consistency Methods

Author:

Barto Libor1,Kozik Marcin2

Affiliation:

1. McMaster University and Charles University in Prague

2. Jagiellonian University

Abstract

We prove that constraint satisfaction problems without the ability to count are solvable by the local consistency checking algorithm. This settles three (equivalent) conjectures: Feder--Vardi [SICOMP’98], Bulatov [LICS’04] and Larose--Zádori [AU’07].

Funder

Grant Agency of the Czech Republic

Ministry of Education, Youth and Sports

Narodowe Centrum Nauki

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference34 articles.

1. Libor Barto. 2013. The collapse of the bounded width hierarchy. In preparation. Libor Barto. 2013. The collapse of the bounded width hierarchy. In preparation.

2. Congruence Distributivity Implies Bounded Width

3. Constraint Satisfaction Problems of Bounded Width

4. New Conditions for Taylor Varieties and CSP

5. Robust satisfiability of constraint satisfaction problems

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