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Constraint Answer Set Programming (CASP) is a hybrid paradigm that enriches Answer Set Programming (ASP) with numerical constraint processing, a crucial requirement for many real-world applications. However, the specification of constraints…

Artificial Intelligence · Computer Science 2026-05-26 Jorge Fandinno , Pedro Cabalar , Philipp Wanko , Torsten Schaub

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

Preference handling and optimization are indispensable means for addressing non-trivial applications in Answer Set Programming (ASP). However, their implementation becomes difficult whenever they bring about a significant increase in…

Logic in Computer Science · Computer Science 2011-07-29 Martin Gebser , Roland Kaminski , Torsten Schaub

Building on a result of Larose and Tesson for constraint satisfaction problems (CSP s), we uncover a dichotomy for the quantified constraint satisfaction problem QCSP(B), where B is a finite structure that is a core. Specifically, such…

Computational Complexity · Computer Science 2011-02-18 Barnaby Martin

Designing component-based constraint solvers is a complex problem. Some components are required, some are optional and there are interdependencies between the components. Because of this, previous approaches to solver design and…

Artificial Intelligence · Computer Science 2011-10-31 Ian P. Gent , Chris Jefferson , Lars Kotthoff , Ian Miguel

Constraint programming is used for a variety of real-world optimisation problems, such as planning, scheduling and resource allocation problems. At the same time, one continuously gathers vast amounts of data about these problems. Current…

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

We present a scalable parallel solver for numerical constraint satisfaction problems (NCSPs). Our parallelization scheme consists of homogeneous worker solvers, each of which runs on an available core and communicates with others via the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Daisuke Ishii , Kazuki Yoshizoe , Toyotaro Suzumura

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 2015-03-20 Vladimir Kolmogorov

Many fundamental problems in artificial intelligence, knowledge representation, and verification involve reasoning about sets and relations between sets and can be modeled as set constraint satisfaction problems (set CSPs). Such problems…

Artificial Intelligence · Computer Science 2012-07-19 Manuel Bodirsky , Martin Hils , Alex Krimkevich

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

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

Machine Learning · Computer Science 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

We produce a class of $\omega$-categorical structures with finite signature by applying a model-theoretic construction -- a refinement of the Hrushosvki-encoding -- to $\omega$-categorical structures in a possibly infinite signature. We…

Logic in Computer Science · Computer Science 2021-01-12 Pierre Gillibert , Julius Jonušas , Michael Kompatscher , Antoine Mottet , Michael Pinsker

This paper gives an overview of SCR3 -- a toolset designed to increase the usability of formal methods for software development. Formal requirements are specified in SCR3 in an easy to use and review format, and then used in checking…

Software Engineering · Computer Science 2007-05-23 M. Chechik

A software element defined in one place is typically used in many places. When it is changed, all its occurrences may need to be changed too, which can severely hinder software evolution. This has led to the support of encapsulation in…

Software Engineering · Computer Science 2013-12-11 Mikal Ziane , Mel Ó Cinnéide

Large optimization problems with hard constraints arise in many settings, yet classical solvers are often prohibitively slow, motivating the use of deep networks as cheap "approximate solvers." Unfortunately, naive deep learning approaches…

Machine Learning · Computer Science 2021-04-27 Priya L. Donti , David Rolnick , J. Zico Kolter

Noncommutative constraint satisfaction problems (NC-CSPs) are higher-dimensional operator extensions of classical CSPs. Despite their significance in quantum information, their approximability remains largely unexplored. A notable example…

Quantum Physics · Physics 2024-10-01 Eric Culf , Hamoon Mousavi , Taro Spirig

Random constraint satisfaction problems (CSPs) such as random $3$-SAT are conjectured to be computationally intractable. The average case hardness of random $3$-SAT and other CSPs has broad and far-reaching implications on problems in…

Computational Complexity · Computer Science 2019-11-11 Jonah Brown-Cohen , Prasad Raghavendra

The binary Constraint Satisfaction Problem (CSP) is to decide whether there exists an assignment to a set of variables which satisfies specified constraints between pairs of variables. A binary CSP instance can be presented as a labelled…

Computational Complexity · Computer Science 2019-06-28 David A. Cohen , Martin C. Cooper , Peter G. Jeavons , Stanislav Zivny

As multicore computing is now standard, it seems irresponsible for constraints researchers to ignore the implications of it. Researchers need to address a number of issues to exploit parallelism, such as: investigating which constraint…

Artificial Intelligence · Computer Science 2018-03-30 Ian P. Gent , Ciaran McCreesh , Ian Miguel , Neil C. A. Moore , Peter Nightingale , Patrick Prosser , Chris Unsworth