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We revisit the SeqBin constraint. This meta-constraint subsumes a number of important global constraints like Change, Smooth and IncreasingNValue. We show that the previously proposed filtering algorithm for SeqBin has two drawbacks even…

Artificial Intelligence · Computer Science 2015-03-20 George Katsirelos , Nina Narodytska , Toby Walsh

This paper studies peek arc consistency, a reasoning technique that extends the well-known arc consistency technique for constraint satisfaction. In contrast to other more costly extensions of arc consistency that have been studied in the…

Artificial Intelligence · Computer Science 2015-03-13 Manuel Bodirsky , Hubie Chen

The paper suggests the use of Multi-Valued Decision Diagrams (MDDs) as the supporting data structure for a generic global constraint. We give an algorithm for maintaining generalized arc consistency (GAC) on this constraint that amortizes…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

Pseudo-Boolean constraints, also known as 0-1 Integer Linear Constraints, are used to model many real-world problems. A common approach to solve these constraints is to encode them into a SAT formula. The runtime of the SAT solver on such…

Logic in Computer Science · Computer Science 2020-02-21 Saurabh Joshi , Ruben Martins , Vasco Manquinho

We introduce the BIN_COUNTS constraint, which deals with the problem of counting the number of decision variables in a set which are assigned values that lie in given bins. We illustrate a decomposition and a filtering algorithm that…

Artificial Intelligence · Computer Science 2016-12-16 Roberto Rossi , Özgür Akgün , Steven Prestwich , Armagan Tarim

We identify a new and important global (or non-binary) constraint. This constraint ensures that the values taken by two vectors of variables, when viewed as multisets, are ordered. This constraint is useful for a number of different…

Artificial Intelligence · Computer Science 2009-05-26 Alan M. Frisch , Ian Miguel , Zeynep Kiziltan , Brahim Hnich , Toby Walsh

Frequent sequence mining methods often make use of constraints to control which subsequences should be mined. A variety of such subsequence constraints has been studied in the literature, including length, gap, span, regular-expression, and…

Databases · Computer Science 2016-10-14 Kaustubh Beedkar , Rainer Gemulla

Sequential pattern mining (SPM) under gap constraint is a challenging task. Many efficient specialized methods have been developed but they are all suffering from a lack of genericity. The Constraint Programming (CP) approaches are not so…

Artificial Intelligence · Computer Science 2015-11-30 Amina Kemmar , Samir Loudni , Yahia Lebbah , Patrice Boizumault , Thierry Charnois

The goal of constraint-based sequence mining is to find sequences of symbols that are included in a large number of input sequences and that satisfy some constraints specified by the user. Many constraints have been proposed in the…

Artificial Intelligence · Computer Science 2015-02-26 Benjamin Negrevergne , Tias Guns

Constraint Acquisition (CA) aims to widen the use of constraint programming by assisting users in the modeling process. However, most CA methods suffer from a significant drawback: they learn a single set of individual constraints for a…

Artificial Intelligence · Computer Science 2024-12-20 Dimos Tsouros , Senne Berden , Steven Prestwich , Tias Guns

A natural and established way to restrict the constraint satisfaction problem is to fix the relations that can be used to pose constraints; such a family of relations is called a constraint language. In this article, we study arc…

Artificial Intelligence · Computer Science 2011-04-27 Hubie Chen , Victor Dalmau , Berit Grußien

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

Given an $m$ by $n$ matrix $V$ of domain variables $v_{i,j}$ (with $i$ from $1$ to $m$ and $j$ from $1$ to $n$), where each row $i$ must be accepted by a specified Deterministic Finite Automaton (DFA) $\mathcal{A}_i$ and each column $j$…

Formal Languages and Automata Theory · Computer Science 2025-12-12 Nicolas Beldiceanu

Constraint Programming (CP) has been successfully applied to both constraint satisfaction and constraint optimization problems. A wide variety of specialized global constraints provide critical assistance in achieving a good model that can…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

We document a connection between constraint reasoning and probabilistic reasoning. We present an algorithm, called {em probabilistic arc consistency}, which is both a generalization of a well known algorithm for arc consistency used in…

Artificial Intelligence · Computer Science 2013-01-18 Michael C. Horsch , Bill Havens

In this paper, we describe Compact-Table (CT), a bitwise algorithm to enforce Generalized Arc Consistency (GAC) on table con- straints. Although this algorithm is the default propagator for table constraints in or-tools and OscaR, two…

This paper presents an algorithm that achieves hyper-arc consistency for the soft alldifferent constraint. To this end, we prove and exploit the equivalence with a minimum-cost flow problem. Consistency of the constraint can be checked in…

Programming Languages · Computer Science 2007-05-23 Willem Jan van Hoeve

Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been…

Information Theory · Computer Science 2025-05-05 Daniella Bar-Lev , Michael Shlizerman

In Constraint Programming, solving discrete minimization problems with hard and soft constraints can be done either using (i) soft global constraints, (ii) a reformulation into a linear program, or (iii) a reformulation into local cost…

Artificial Intelligence · Computer Science 2025-09-24 Pierre Montalbano , Simon de Givry , George Katsirelos

Studies on grammatical error correction (GEC) have reported the effectiveness of pretraining a Seq2Seq model with a large amount of pseudodata. However, this approach requires time-consuming pretraining for GEC because of the size of the…

Computation and Language · Computer Science 2020-10-01 Satoru Katsumata , Mamoru Komachi
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