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In the Constraint Satisfaction Problem (CSP for short) the goal is to decide the existence of a homomorphism from a given relational structure $G$ to a given relational structure $H$. If the structure $H$ is fixed and $G$ is the only input,…

计算机科学中的逻辑 · 计算机科学 2025-10-14 Andrei A. Bulatov , Amirhossein Kazeminia

Constraint programming (CP) is a powerful tool for modeling mathematical concepts and objects and finding both solutions or counter examples. One of the major strengths of CP is that problems can easily be combined or expanded. In this…

离散数学 · 计算机科学 2025-01-29 Ruth Hoffmann , Özgür Akgün , Christopher Jefferson

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

人工智能 · 计算机科学 2014-11-17 R. A Helzerman , M. P. Harper

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

We present PyOECP, a Python-based flexible open-source software for estimating and modeling the complex permittivity obtained from the open-ended coaxial probe (OECP) technique. The transformation of the measured reflection coefficient to…

仪器与探测器 · 物理学 2021-10-01 Tae Jun Yoon , Katie A. Maerzke , Robert P. Currier , Alp T. Findikoglu

The Promise Constraint Satisfaction Problem (PCSP for short) is a generalization of the well-studied Constraint Satisfaction Problem (CSP). The PCSP has its roots in such classic problems as the Approximate Graph Coloring and the…

计算复杂性 · 计算机科学 2025-12-08 Arash Beikmohammadi , Andrei A. Bulatov

Solving Constraint Optimization Problems (COPs) can be dramatically simplified by boundary estimation, that is, providing tight boundaries of cost functions. By feeding a supervised Machine Learning (ML) model with data composed of known…

人工智能 · 计算机科学 2021-11-08 Helge Spieker , Arnaud Gotlieb

The study of phase transition phenomenon of NP complete problems plays an important role in understanding the nature of hard problems. In this paper, we follow this line of research by considering the problem of counting solutions of…

人工智能 · 计算机科学 2011-02-25 Minghao Yin , Ping Huang

Many industrial applications require finding solutions to challenging combinatorial problems. Efficient elimination of symmetric solution candidates is one of the key enablers for high-performance solving. However, existing model-based…

人工智能 · 计算机科学 2022-05-17 Alice Tarzariol , Martin Gebser , Mark Law , Konstantin Schekotihin

The constrained synchronization problem (CSP) asks for a synchronizing word of a given input automaton contained in a regular set of constraints. It could be viewed as a special case of synchronization of a discrete event system under…

形式语言与自动机理论 · 计算机科学 2021-08-03 Stefan Hoffmann

We present a definition of the class NP in combinatorial context as the set of languages of structures defined by finitely many forbidden lifted substructures. We apply this to special syntactically defined subclasses and show how they…

组合数学 · 数学 2007-06-13 Gabor Kun , Jaroslav Nesetril

Functional constraints and bi-functional constraints are an important constraint class in Constraint Programming (CP) systems, in particular for Constraint Logic Programming (CLP) systems. CP systems with finite domain constraints usually…

人工智能 · 计算机科学 2010-06-17 Yuanlin Zhang , Roland H. C. Yap

ConIII (pronounced CON-ee) is an open-source Python project providing a simple interface to solving the pairwise and higher order Ising model and a base for extension to other maximum entropy models. We describe the maximum entropy problem…

定量方法 · 定量生物学 2019-03-12 Edward D. Lee , Bryan C Daniels

We propose in this article a framework for compilation of quantified constraint satisfaction problems (QCSP). We establish the semantics of this formalism by an interpretation to a QCSP. We specify an algorithm to compile a QCSP embedded…

编程语言 · 计算机科学 2013-07-18 Igor Stéphan

The CLP scheme uses Horn clauses and SLD resolution to generate multiple constraint satisfaction problems (CSPs). The possible CSPs include rational trees (giving Prolog) and numerical algorithms for solving linear equations and linear…

编程语言 · 计算机科学 2010-02-09 M. H. van Emden

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

We study constraint satisfaction problems (CSPs) where the constraint languages are defined by finite automata, giving rise to automata-based CSPs. The key notion is the concept of Automatic Constraint Satisfaction Problem ($AutCSP$), where…

计算机科学中的逻辑 · 计算机科学 2026-04-22 Andrei Bulatov , Xiaoyang Gong , Bakh Khoussainov , Xinyao Wang

In recent years, there has been a growing interest in using learning-based approaches for solving combinatorial problems, either in an end-to-end manner or in conjunction with traditional optimization algorithms. In both scenarios, the…

机器学习 · 计算机科学 2024-03-14 Léo Boisvert , Hélène Verhaeghe , Quentin Cappart

Combinatorial optimization problems are prevalent across a wide variety of domains. These problems are often nuanced, their optimal solutions might not be efficiently obtainable, and they may require lots of time and compute resources to…

机器学习 · 计算机科学 2025-07-03 Akshay Sathiya , Rohit Pandey

An instance of Max CSP is a finite collection of constraints on a set of variables, and the goal is to assign values to the variables that maximises the number of satisfied constraints. Max CSP captures many well-known problems (such as Max…

计算复杂性 · 计算机科学 2007-12-11 Peter Jonsson , Andrei Krokhin , Fredrik Kuivinen