Constraint satisfaction problem and universal algebra

Author:

Barto Libor1

Affiliation:

1. Charles University in Prague

Abstract

This column gives a brief survey of current research on the complexity of the constraint satisfaction problem (CSP) over fixed constraint languages.

Funder

Grant Agency of the Czech Republic

Publisher

Association for Computing Machinery (ACM)

Reference51 articles.

1. The Dichotomy for Conservative Constraint Satisfaction Problems Revisited

2. Libor Barto. 2014. The Collapse of the Bounded Width Hierarchy. (2014). manuscript. Libor Barto. 2014. The Collapse of the Bounded Width Hierarchy. (2014). manuscript.

3. Congruence Distributivity Implies Bounded Width

4. Libor Barto and Marcin Kozik. 2012a. Absorbing Subalgebras Cyclic Terms and the Constraint Satisfaction Problem. Logical Methods in Computer Science 8 1 (2012). Libor Barto and Marcin Kozik. 2012a. Absorbing Subalgebras Cyclic Terms and the Constraint Satisfaction Problem. Logical Methods in Computer Science 8 1 (2012).

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1. On the complexity of CSP-based ideal membership problems;Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing;2022-06-09

2. Fine-Grained Time Complexity of Constraint Satisfaction Problems;ACM Transactions on Computation Theory;2021-03

3. Sparsification of SAT and CSP Problems via Tractable Extensions;ACM Transactions on Computation Theory;2020-05-14

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5. The Number of Clones Determined by Disjunctions of Unary Relations;Theory of Computing Systems;2018-12-19

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