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Survey Propagation is an algorithm designed for solving typical instances of random constraint satisfiability problems. It has been successfully tested on random 3-SAT and random $G(n,\frac{c}{n})$ graph 3-coloring, in the hard region of…

Disordered Systems and Neural Networks · Physics 2010-04-02 A. Braunstein , M. Mezard , M. Weigt , R. Zecchina

Many of the core disciplines of artificial intelligence have sets of standard benchmark problems well known and widely used by the community when developing new algorithms. Constraint programming and automated planning are examples of these…

Artificial Intelligence · Computer Science 2020-09-23 Özgür Akgün , Nguyen Dang , Joan Espasa , Ian Miguel , András Z. Salamon , Christopher Stone

Generative models can produce synthetic patient records for analytical tasks when real data is unavailable or limited. However, current methods struggle with adhering to domain-specific knowledge and removing invalid data. We present…

Machine Learning · Computer Science 2023-12-22 Brandon Theodorou , Shrusti Jain , Cao Xiao , Jimeng Sun

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…

Artificial Intelligence · Computer Science 2013-04-12 Denis Berthier

Bound propagation is an important Artificial Intelligence technique used in Constraint Programming tools to deal with numerical constraints. It is typically embedded within a search procedure ("branch and prune") and used at every node of…

Artificial Intelligence · Computer Science 2014-01-17 Lucas Bordeaux , George Katsirelos , Nina Narodytska , Moshe Y. Vardi

Synthesis of optimization algorithms typically follows a {\em design-then-analyze\/} approach, which can obscure fundamental performance limits and hinder the systematic development of algorithms that operate near these limits. Recently, a…

Optimization and Control · Mathematics 2025-09-26 Ibrahim K. Ozaslan , Wuwei Wu , Jie Chen , Tryphon T. Georgiou , Mihailo R. Jovanovic

The Weighted Constraint Satisfaction Problem (WCSP) framework allows representing and solving problems involving both hard constraints and cost functions. It has been applied to various problems, including resource allocation,…

Artificial Intelligence · Computer Science 2014-01-16 Matthias Zytnicki , Christine Gaspin , Simon de Givry , Thomas Schiex

One of the central problems in the study of parametrized constraint satisfaction problems is the Dichotomy Conjecture by T. Feder and M. Vardi stating that the constraint satisfaction problem (CSP) over a fixed, finite constraint language…

Computational Complexity · Computer Science 2017-12-12 Dejan Delić

Constraints over finite sequences of variables are ubiquitous in sequencing and timetabling. Moreover, the wide variety of such constraints in practical applications led to general modelling techniques and generic propagation algorithms,…

Artificial Intelligence · Computer Science 2013-09-30 Nicolas Beldiceanu , Pierre Flener , Justin Pearson , Pascal Van Hentenryck

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…

Artificial Intelligence · Computer Science 2011-10-12 J. Culberson , Y. Gao

In this paper, we propose a new language, called AR ({\it Action Rules}), and describe how various propagators for finite-domain constraints can be implemented in it. An action rule specifies a pattern for agents, an action that the agents…

Programming Languages · Computer Science 2007-05-23 Neng-Fa Zhou

In this paper, we present a framework for automatic generation of CHR solvers given the logical specification of the constraints. This approach takes advantage of the power of tabled resolution for constraint logic programming, in order to…

Logic in Computer Science · Computer Science 2007-05-23 Slim Abdennadher , Christophe Rigotti

We propose Range and Roots which are two common patterns useful for specifying a wide range of counting and occurrence constraints. We design specialised propagation algorithms for these two patterns. Counting and occurrence constraints…

Artificial Intelligence · Computer Science 2009-03-03 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

As machine learning models, specifically neural networks, are becoming increasingly popular, there are concerns regarding their trustworthiness, specially in safety-critical applications, e.g. actions of an autonomous vehicle must be safe.…

Machine Learning · Computer Science 2023-12-15 Kshitij Goyal , Sebastijan Dumancic , Hendrik Blockeel

We study the use of local consistency methods as reductions between constraint satisfaction problems (CSPs), and promise version thereof, with the aim to classify these reductions in a similar way as the algebraic approach classifies gadget…

Logic in Computer Science · Computer Science 2024-05-20 Victor Dalmau , Jakub Opršal

Constraint Handling Rules is an effective concurrent declarative programming language and a versatile computational logic formalism. CHR programs consist of guarded reactive rules that transform multisets of constraints. One of the main…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-09 Thom Fruehwirth

In many real world applications of machine learning, models have to meet certain domain-based requirements that can be expressed as constraints (e.g., safety-critical constraints in autonomous driving systems). Such constraints are often…

Machine Learning · Computer Science 2022-06-20 Kshitij Goyal , Sebastijan Dumancic , Hendrik Blockeel

In the last few years the systematic adoption of deep learning to visual generation has produced impressive results that, amongst others, definitely benefit from the massive exploration of convolutional architectures. In this paper, we…

Machine Learning · Computer Science 2020-02-10 Giuseppe Marra , Francesco Giannini , Michelangelo Diligenti , Marco Gori

Local consistency techniques such as k-consistency are a key component of specialised solvers for constraint satisfaction problems. In this paper we show that the power of using k-consistency techniques on a constraint satisfaction problem…

Artificial Intelligence · Computer Science 2014-01-21 Peter Jeavons , Justyna Petke

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…

Logic in Computer Science · Computer Science 2026-04-22 Andrei Bulatov , Xiaoyang Gong , Bakh Khoussainov , Xinyao Wang