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Among the local consistency techniques used for solving constraint networks, path-consistency (PC) has received a great deal of attention. However, enforcing PC is computationally expensive and sometimes even unnecessary. Directional…

Artificial Intelligence · Computer Science 2018-04-24 Shufeng Kong , Sanjiang Li , Michael Sioutis

We consider the quantified constraint satisfaction problem (QCSP) which is to decide, given a structure and a first-order sentence (not assumed here to be in prenex form) built from conjunction and quantification, whether or not the…

Logic in Computer Science · Computer Science 2015-07-01 Hubie Chen

We study formalisms for temporal and spatial reasoning in the modern context of Constraint Satisfaction Problems (CSPs). We show how questions on the complexity of their subclasses can be solved using existing results via the powerful use…

Logic in Computer Science · Computer Science 2018-05-08 Barnaby Martin , Peter Jonsson , Manuel Bodirsky , Antoine Mottet

We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff

Promise Constraint Satisfaction Problems (PCSP) were proposed recently by Brakensiek and Guruswami arXiv:1704.01937 as a framework to study approximations for Constraint Satisfaction Problems (CSP). Informally a PCSP asks to distinguish…

Computational Complexity · Computer Science 2020-03-18 Guofeng Deng , Ezzeddine El Sai , Trevor Manders , Peter Mayr , Poramate Nakkirt , Athena Sparks

Constraint satisfaction problems (or CSPs) have been extensively studied in, for instance, artificial intelligence, database theory, graph theory, and statistical physics. From a practical viewpoint, it is beneficial to approximately solve…

Computational Complexity · Computer Science 2012-10-17 Tomoyuki Yamakami

Optimization is fundamental in many areas of science, from computer science and information theory to engineering and statistical physics, as well as to biology or social sciences. It typically involves a large number of variables and a…

Statistical Mechanics · Physics 2009-07-08 Lenka Zdeborová

Many researchers in artificial intelligence are beginning to explore the use of soft constraints to express a set of (possibly conflicting) problem requirements. A soft constraint is a function defined on a collection of variables which…

Artificial Intelligence · Computer Science 2011-07-04 D. Cohen , M. Cooper , P. Jeavons , A. Krokhin

For a first-order theory $T$, the Constraint Satisfaction Problem of $T$ is the computational problem of deciding whether a given conjunction of atomic formulas is satisfiable in some model of $T$. In this article we develop sufficient…

Logic · Mathematics 2020-12-03 Manuel Bodirsky , Johannes Greiner

Real life problems such as scheduling meeting between people at different locations can be modelled as distributed Constraint Satisfaction Problems (CSPs). Suitable and satisfactory solutions can then be found using constraint satisfaction…

Artificial Intelligence · Computer Science 2015-09-04 Ibrahim Adeyanju

In this paper, we address complexity issues for timeline-based planning over dense temporal domains. The planning problem is modeled by means of a set of independent, but interacting, components, each one represented by a number of state…

Logic in Computer Science · Computer Science 2018-09-11 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron

Valued constraint satisfaction problems (VCSPs) constitute a large class of computational optimization problems. It was shown recently that, over finite domains, every VCSP is in P or NP-complete, depending on the admitted cost functions.…

Logic · Mathematics 2025-10-21 Manuel Bodirsky , Žaneta Semanišinová , Carsten Lutz

We investigate the impact of modifying the constraining relations of a Constraint Satisfaction Problem (CSP) instance, with a fixed template, on the set of solutions of the instance. More precisely we investigate sensitive instances: an…

Logic in Computer Science · Computer Science 2020-05-04 Libor Barto , Marcin Kozik , Johnson Tan , Matt Valeriote

A semilinear relation S is max-closed if it is preserved by taking the componentwise maximum. The constraint satisfaction problem for max-closed semilinear constraints is at least as hard as determining the winner in Mean Payoff Games, a…

Computational Complexity · Computer Science 2017-03-23 Manuel Bodirsky , Marcello Mamino

One of the key research interests in the area of Constraint Satisfaction Problem (CSP) is to identify tractable classes of constraints and develop efficient solutions for them. In this paper, we introduce generalized staircase (GS)…

Artificial Intelligence · Computer Science 2013-04-19 Shubhadip Mitra , Partha Dutta , Arnab Bhattacharya

The constraint satisfaction problem (CSP) has important applications in computer science and AI. In particular, infinite-domain CSPs have been intensively used in subareas of AI such as spatio-temporal reasoning. Since constraint…

Artificial Intelligence · Computer Science 2021-07-06 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov

In the field of constraint satisfaction problems (CSP), promise CSPs are an exciting new direction of study. In a promise CSP, each constraint comes in two forms: "strict" and "weak," and in the associated decision problem one must…

Data Structures and Algorithms · Computer Science 2020-12-03 Joshua Brakensiek , Venkatesan Guruswami , Marcin Wrochna , Stanislav Živný

We continue the investigation of polynomial-time sparsification for NP-complete Boolean Constraint Satisfaction Problems (CSPs). The goal in sparsification is to reduce the number of constraints in a problem instance without changing the…

Computational Complexity · Computer Science 2018-09-18 Hubie Chen , Bart M. P. Jansen , Astrid Pieterse

We investigate the computational complexity of the problem of counting the maximal satisfying assignments of a Constraint Satisfaction Problem (CSP) over the Boolean domain {0,1}. A satisfying assignment is maximal if any new assignment…

Computational Complexity · Computer Science 2016-05-17 Leslie Ann Goldberg , Mark Jerrum

In this work, we focus on the Partial Constraint Satisfaction Problem (PCSP) over control-flow graphs (CFGs) of programs. PCSP serves as a generalization of the well-known Constraint Satisfaction Problem (CSP). In the CSP framework, we…

Computation and Language · Computer Science 2026-02-04 Xuran Cai , Amir Goharshady