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A wide range of problems can be modelled as constraint satisfaction problems (CSPs), that is, a set of constraints that must be satisfied simultaneously. Constraints can either be represented extensionally, by explicitly listing allowed…

Artificial Intelligence · Computer Science 2013-07-09 Evgenij Thorstensen

Incomplete MaxSAT solving aims to quickly find a solution that attempts to minimize the sum of the weights of the unsatisfied soft clauses without providing any optimality guarantees. In this paper, we propose two approximation strategies…

Logic in Computer Science · Computer Science 2018-06-20 Saurabh Joshi , Prateek Kumar , Ruben Martins , Sukrut Rao

In this paper, we reproduce experimental results presented in our earlier work titled "In-processing User Constrained Dominant Sets for User-Oriented Fairness in Recommender Systems" that was presented in the proceeding of the 31st ACM…

Information Retrieval · Computer Science 2025-04-01 Yixiu Liu , Zehui He , Yuyuan Li , Zhongxuan Han , Chaochao Chen , Xiaolin Zheng

We propose an incomplete algorithm for Maximum Satisfiability (MaxSAT) specifically designed to run on neural network accelerators such as GPUs and TPUs. Given a MaxSAT problem instance in conjunctive normal form, our procedure constructs a…

Artificial Intelligence · Computer Science 2023-11-07 David Warde-Farley , Vinod Nair , Yujia Li , Ivan Lobov , Felix Gimeno , Simon Osindero

In a constraint satisfaction problem (CSP) the goal is to find an assignment of a given set of variables subject to specified constraints. A global cardinality constraint is an additional requirement that prescribes how many variables must…

Logic in Computer Science · Computer Science 2015-07-01 Andrei A. Bulatov , Daniel Marx

Symmetries are intrinsic to many combinatorial problems including Boolean Satisfiability (SAT) and Constraint Programming (CP). In SAT, the identification of symmetry breaking predicates (SBPs) is a well-known, often effective, technique…

Artificial Intelligence · Computer Science 2008-12-18 Joao Marques-Silva , Ines Lynce , Vasco Manquinho

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…

Computational Complexity · Computer Science 2011-10-14 Walter Bach , Hang Zhou

This is a commentary on the CP 2003 paper "Efficient cnf encoding of boolean cardinality constraints". After recalling its context, we outline a classification of Constraints with respect to their deductive power regarding General Arc…

Artificial Intelligence · Computer Science 2020-06-04 Olivier Bailleux , Yacine Boufkhad

In the maximum constraint satisfaction problem (MAX CSP), one is given a finite collection of (possibly weighted) constraints on overlapping sets of variables, and the goal is to assign values from a given finite domain to the variables so…

Computational Complexity · Computer Science 2007-05-23 Vladimir Deineko , Peter Jonsson , Mikael Klasson , Andrei Krokhin

Motivated by the inapproximability of reconfiguration problems, we present a new PCP-type characterization of PSPACE, which we call a probabilistically checkable reconfiguration proof (PCRP): Any PSPACE computation can be encoded into an…

Computational Complexity · Computer Science 2025-01-08 Shuichi Hirahara , Naoto Ohsaka

The high-performance computing (HPC) community has adopted incentive structures to motivate reproducible research, with major conferences awarding badges to papers that meet reproducibility requirements. Yet, many papers do not meet such…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-01 Valérie Hayot-Sasson , Nathaniel Hudson , André Bauer , Maxime Gonthier , Ian Foster , Kyle Chard

In many domains, worst-case guarantees on the performance (e.g., prediction accuracy) of a decision function subject to distributional shifts and uncertainty about the environment are crucial. In this work we develop a method to quantify…

Artificial Intelligence · Computer Science 2022-05-13 Hjalmar Wijk , Benjie Wang , Marta Kwiatkowska

Due to the proliferation of Large Language Models research and the use of various Artificial Intelligence (AI) tools, the field of information systems (IS) and computer science (CS) has evolved. The use of tools such as ChatGPT to complete…

Computers and Society · Computer Science 2024-06-21 Grant Oosterwyk , Pitso Tsibolane , Popyeni Kautondokwa , Ammar Canani

MaxSAT is an optimization version of the famous NP-complete Satisfiability problem (SAT). Algorithms for MaxSAT mainly include complete solvers and local search incomplete solvers. In many complete solvers, once a better solution is found,…

Artificial Intelligence · Computer Science 2024-01-22 Jiongzhi Zheng , Zhuo Chen , Chu-Min Li , Kun He

Cardinality constraints in optimization are commonly of $L^0$-type, and they lead to sparsely supported optimizers. An efficient way of dealing with these constraints algorithmically, when the objective functional is convex, is…

Optimization and Control · Mathematics 2026-02-26 Bastian Dittrich , Evelyn Herberg , Roland Herzog , Georg Müller

In this paper we introduce Clause Cuts: linear inequalities obtained from clauses that are logically implied by a CNF formula, resembling strengthened no-good cuts. With these cuts, we tighten mixed-integer linear programming (MILP)…

Optimization and Control · Mathematics 2025-09-29 Max Engelhardt , Milan Adhikari , Jonasz Staszek , Alexander Martin

This paper presents a MaxSAT benchmark focused on identifying critical nodes in AND/OR graphs. We use AND/OR graphs to model Industrial Control Systems (ICS) as they are able to semantically grasp intricate logical interdependencies among…

Cryptography and Security · Computer Science 2019-11-05 Martín Barrère , Chris Hankin , Nicolas Nicolau , Demetrios G. Eliades , Thomas Parisini

Combinatorial reconfiguration is a growing research field studying problems on the transformability between a pair of solutions of a search problem. We consider the approximability of optimization variants of reconfiguration problems; e.g.,…

Discrete Mathematics · Computer Science 2025-01-07 Naoto Ohsaka

This paper proposes an evaluation of the adequacy of the constraint logic programming paradigm for natural language processing. Theoretical aspects of this question have been discussed in several works. We adopt here a pragmatic point of…

cmp-lg · Computer Science 2008-02-03 Philippe Blache , Nabil Hathout

Cumulative constraints are central in scheduling with constraint programming, yet propagation is typically performed per constraint, missing multi-resource interactions and causing severe slowdowns on some benchmarks. I present a…

Artificial Intelligence · Computer Science 2026-02-18 Konstantin Sidorov