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Constraint solvers are complex pieces of software which require many design decisions to be made by the implementer based on limited information. These decisions affect the performance of the finished solver significantly. Once a design…

Artificial Intelligence · Computer Science 2010-08-26 Ian Gent , Lars Kotthoff , Ian Miguel , Peter Nightingale

The minimum common string partition problem is an NP-hard combinatorial optimization problem with applications in computational biology. In this work we propose the first integer linear programming model for solving this problem. Moreover,…

Artificial Intelligence · Computer Science 2014-05-23 Christian Blum , José A. Lozano , Pedro Pinacho Davidson

Bridging logical and algorithmic reasoning with modern machine learning techniques is a fundamental challenge with potentially transformative impact. On the algorithmic side, many NP-hard problems can be expressed as integer programs, in…

Machine Learning · Computer Science 2024-12-16 Anselm Paulus , Michal Rolínek , Vít Musil , Brandon Amos , Georg Martius

Constraint Programming (CP) users need significant expertise in order to model their problems appropriately, notably to select propagators and search strategies. This puts the brakes on a broader uptake of CP. In this paper, we introduce…

Artificial Intelligence · Computer Science 2016-11-29 Thierry Petit

Programs to solve so-called constraint problems are complex pieces of software which require many design decisions to be made more or less arbitrarily by the implementer. These decisions affect the performance of the finished solver…

Artificial Intelligence · Computer Science 2010-05-20 Lars Kotthoff , Ian Gent , Ian Miguel

The success of several constraint-based modeling languages such as OPL, ZINC, or COMET, appeals for better software engineering practices, particularly in the testing phase. This paper introduces a testing framework enabling automated test…

Software Engineering · Computer Science 2015-03-17 Nadjib Lazaar , Arnaud Gotlieb , Lebbah Yahia

In this paper, we develop a new formulation of changeover constraints for mixed integer programming problem (MIP) that emerges in solving a short-term production scheduling problem. The new model requires fewer constraints than the original…

Optimization and Control · Mathematics 2014-08-28 Pavel A. Borisovsky , Anton V. Eremeev , Josef Kallrath

Model Predictive Control (MPC) is a popular control approach due to its ability to consider constraints, including input and state restrictions, while minimizing a cost function. However, in practice, these constraints can result in…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Victor Gracia , Pablo Krupa , Daniel Limon , Teodoro Alamo

When eating spaghetti, one should have the sauce and noodles mixed instead of eating them separately. We argue that also in string solving, word equations and regular constraints are better mixed together than approached separately as in…

Logic in Computer Science · Computer Science 2022-12-06 František Blahoudek , Yu-Fang Chen , David Chocholatý , Vojtěch Havlena , Lukáš Holík , Ondřej Lengál , Juraj Síč

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

Traditional language processing tools constrain language designers to specific kinds of grammars. In contrast, model-based language specification decouples language design from language processing. As a consequence, model-based language…

Computation and Language · Computer Science 2012-02-03 Luis Quesada , Fernando Berzal , Francisco J. Cortijo

Constraint Acquisition (CA) and related research on the validation and enhancement of Mathematical Programming (MP) models from domain knowledge artifacts are currently limited by inadequate benchmarks. This deficiency impedes…

Artificial Intelligence · Computer Science 2026-05-27 Rafał Stachowiak , Tomasz P. Pawlak

Constraint-based pattern discovery is at the core of numerous data mining tasks. Patterns are extracted with respect to a given set of constraints (frequency, closedness, size, etc). In the context of sequential pattern mining, a large…

Artificial Intelligence · Computer Science 2013-11-28 Jean-Philippe Métivier , Samir Loudni , Thierry Charnois

Object oriented constraint programs (OOCPs) emerge as a leading evolution of constraint programming and artificial intelligence, first applied to a range of industrial applications called configuration problems. The rich variety of…

Artificial Intelligence · Computer Science 2007-05-23 Laurent Henocque

A class of valued constraint satisfaction problems (VCSPs) is characterised by a valued constraint language, a fixed set of cost functions on a finite domain. An instance of the problem is specified by a sum of cost functions from the…

Computational Complexity · Computer Science 2015-11-24 Johan Thapper , Stanislav Zivny

The ability to model search in a constraint solver can be an essential asset for solving combinatorial problems. However, existing infrastructure for defining search heuristics is often inadequate. Either modeling capabilities are extremely…

Artificial Intelligence · Computer Science 2012-03-07 Tom Schrijvers , Guido Tack , Pieter Wuille , Horst Samulowitz , Peter J. Stuckey

An important challenge in constraint programming is to rewrite constraint models into executable programs calculat- ing the solutions. This phase of constraint processing may require translations between constraint programming lan- guages,…

Artificial Intelligence · Computer Science 2010-02-17 Raphael Chenouard , Laurent Granvilliers , Ricardo Soto

Large language models have shown unprecedented abilities in generating linguistically coherent and syntactically correct natural language output. However, they often return incorrect and inconsistent answers to input questions. Due to the…

Databases · Computer Science 2023-12-27 Jasmin Mousavi , Arash Termehchy

Linear integer constraints are one of the most important constraints in combinatorial problems since they are commonly found in many practical applications. Typically, encodings to Boolean satisfiability (SAT) format of conjunctive normal…

Logic in Computer Science · Computer Science 2020-05-06 Ignasi Abío , Valentin Mayer-Eichberger , Peter Stuckey

With our current level of understanding, the problem of making string theory predictions is not one of "solving" the theory, but rather of trying to determine whether there are any generic expectations. Within this context, we discuss what…

High Energy Physics - Theory · Physics 2009-11-07 Michael Dine