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CSP sparsification, introduced by Kogan and Krauthgamer (ITCS 2015), considers the following question: how much can an instance of a constraint satisfaction problem be sparsified (by retaining a reweighted subset of the constraints) while…

数据结构与算法 · 计算机科学 2024-11-07 Sanjeev Khanna , Aaron L. Putterman , Madhu Sudan

Maximum surjective constraint satisfaction problems (Max-Sur-CSPs) are computational problems where we are given a set of variables denoting values from a finite domain B and a set of constraints on the variables. A solution to such a…

计算复杂性 · 计算机科学 2011-10-14 Walter Bach , Hang Zhou

The constraint satisfaction problem (CSP) is a computational problem that includes a range of important problems in computer science. We point out that fundamental concepts of the CSP, such as the solution set of an instance and…

范畴论 · 数学 2022-11-04 Soichiro Fujii , Yuni Iwamasa , Kei Kimura

In this paper, we study the possibility of designing non-trivial random CSP models by exploiting the intrinsic connection between structures and typical-case hardness. We show that constraint consistency, a notion that has been developed to…

人工智能 · 计算机科学 2011-10-12 J. Culberson , Y. Gao

Random instances of Constraint Satisfaction Problems (CSP's) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the general understanding of the structure of…

离散数学 · 计算机科学 2009-04-20 Andrea Montanari , Ricardo Restrepo , Prasad Tetali

This paper focuses on the branching process for solving any constraint satisfaction problem (CSP). A parametrised schema is proposed that (with suitable instantiations of the parameters) can solve CSP's on both finite and infinite domains.…

编程语言 · 计算机科学 2007-05-23 Antonio J. Fernandez , Patricia M. Hill

The constraint satisfaction problem (CSP) is a central generic problem in computer science and artificial intelligence: it provides a common framework for many theoretical problems as well as for many real-life applications. Soft constraint…

人工智能 · 计算机科学 2011-04-25 Martin C. Cooper , Stanislav Zivny

The Constraint Satisfaction Problem (CSP) is ubiquitous in various areas of mathematics and computer science. Many of its variations have been studied including the Counting CSP, where the goal is to find the number of solutions to a CSP…

计算复杂性 · 计算机科学 2025-01-24 Amirhossein Kazeminia , Andrei A. Bulatov

Constraint satisfaction problems have been studied in numerous fields with practical and theoretical interests. In recent years, major breakthroughs have been made in a study of counting constraint satisfaction problems (or #CSPs). In…

计算复杂性 · 计算机科学 2012-10-23 Tomoyuki Yamakami

In this document, we introduce XCSP3-core, a subset of XCSP3 that allows us to represent constraint satisfaction/optimization problems. The interest of XCSP3-core is multiple: (i) focusing on the most popular frameworks (CSP and COP) and…

人工智能 · 计算机科学 2024-08-30 Frédéric Boussemart , Christophe Lecoutre , Gilles Audemard , Cédric Piette

Many difficult computational problems involve the simultaneous satisfaction of multiple constraints which are individually easy to satisfy. Such problems occur in diffractive imaging, protein folding, constrained optimization (e.g., spin…

计算物理 · 物理学 2008-10-01 Simon Gravel , Veit Elser

Given an unsatisfiable formula, understanding the core reason for unsatisfiability is crucial in several applications. One effective way to capture this is through the minimal unsatisfiable subset (MUS), the subset-minimal set of clauses…

人工智能 · 计算机科学 2026-01-08 Mohimenul Kabir , Kuldeep S Meel

Constraint Satisfaction Problems (CSPs) play a central role in many applications in Artificial Intelligence and Operations Research. In general, solving CSPs is NP-complete. The structure of CSPs is best described by hypergraphs. Therefore,…

人工智能 · 计算机科学 2021-01-01 Georg Gottlob , Matthias Lanzinger , Davide Mario Longo , Cem Okulmus , Reinhard Pichler

The Constraint Satisfaction Problem (CSP) has been intensively studied in many areas of computer science and mathematics. The approach to the CSP based on tools from universal algebra turned out to be the most successful one to study the…

逻辑 · 数学 2025-01-16 Andrei A. Bulatov

The Constraint Satisfaction Problem (CSP) is a problem of computing a homomorphism $\mathbf{R}\to \mathbf{\Gamma}$ between two relational structures, where $\mathbf{R}$ is defined over a domain $V$ and $\mathbf{\Gamma}$ is defined over a…

计算复杂性 · 计算机科学 2023-11-21 Rustem Takhanov

Many real world problems naturally appear as constraints satisfaction problems (CSP), for which very efficient algorithms are known. Most of these involve the combination of two techniques: some direct propagation of constraints between…

人工智能 · 计算机科学 2013-04-12 Denis Berthier

We study the design of stochastic local search methods to prove unsatisfiability of a constraint satisfaction problem (CSP). For a binary CSP, such methods have been designed using the microstructure of the CSP. Here, we develop a method to…

人工智能 · 计算机科学 2020-02-11 Daya Gaur , Muhammad Khan

We study a model of constraint satisfaction problems geared towards instances with few variables but with domain of unbounded size (udCSP). Our model is inspired by recent work on FPT algorithms for MinCSP where frequently both upper and…

数据结构与算法 · 计算机科学 2025-08-25 Peter Jonsson , Victor Lagerkvist , Jorke M. de Vlas , Magnus Wahlström

The model of Dynamic Meta-Constraints has special activity constraints which can activate other constraints. It also has meta-constraints which range over other constraints. An algorithm is presented in which constraints can be assigned one…

编程语言 · 计算机科学 2007-05-23 Janet van der Linden

The constraint satisfaction problem (CSP) and its quantified extensions, whether without (QCSP) or with disjunction (QCSP_or), correspond naturally to the model checking problem for three increasingly stronger fragments of positive…

计算机科学中的逻辑 · 计算机科学 2012-04-27 Florent Madelaine , Barnaby Martin