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Regular expressions are a classical concept in formal language theory. Regular expressions in programming languages (RegEx) such as JavaScript, feature non-standard semantics of operators (e.g. greedy/lazy Kleene star), as well as…

Theories over strings are among the most heavily researched logical theories in the SMT community in the past decade, owing to the error-prone nature of string manipulations, which often leads to security vulnerabilities (e.g. cross-site…

Programming Languages · Computer Science 2021-12-15 Shuanglong Kan , Anthony W. Lin , Philipp Rümmer , Micha Schrader

Strings are widely used in programs, especially in web applications. Integer data type occurs naturally in string-manipulating programs, and is frequently used to refer to lengths of, or positions in, strings. Analysis and testing of…

Logic in Computer Science · Computer Science 2020-07-15 Taolue Chen , Matthew Hague , Jinlong He , Denghang Hu , Anthony Widjaja Lin , Philipp Rummer , Zhilin Wu

Numerical analysis has no satisfactory method for the more realistic optimization models. However, with constraint programming one can compute a cover for the solution set to arbitrarily close approximation. Because the use of constraint…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden , B. Moa

String constraint solving refers to solving combinatorial problems involving constraints over string variables. String solving approaches have become popular over the last years given the massive use of strings in different application…

Artificial Intelligence · Computer Science 2021-07-01 Roberto Amadini

We present OSTRICH2, the latest evolution of the SMT solver OSTRICH for string constraints. OSTRICH2 supports a wide range of complex functions on strings and provides completeness guarantees for a substantial fragment of string…

Logic in Computer Science · Computer Science 2025-08-18 Matthew Hague , Denghang Hu , Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer , Zhilin Wu

We describe the use of array expressions as constraints, which represents a consequent generalisation of the "element" constraint. Constraint propagation for array constraints is studied theoretically, and for a set of domain reduction…

Programming Languages · Computer Science 2007-05-23 Sebastian Brand

Constraint programming is a family of techniques for solving combinatorial problems, where the problem is modelled as a set of decision variables (typically with finite domains) and a set of constraints that express relations among the…

Artificial Intelligence · Computer Science 2016-05-31 James Caldwell , Ian P. Gent , Peter Nightingale

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of…

Artificial Intelligence · Computer Science 2019-08-19 Sven Löffler , Ke Liu , Petra Hofstedt

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

A widely adopted approach to solving constraint satisfaction problems combines systematic tree search with various degrees of constraint propagation for pruning the search space. One common technique to improve the execution efficiency is…

Logic in Computer Science · Computer Science 2007-05-23 Chiu Wo Choi , Jimmy Ho-Man Lee , Peter J. Stuckey

We study here constraint satisfaction problems that are based on predefined, explicitly given finite constraints. To solve them we propose a notion of rule consistency that can be expressed in terms of rules derived from the explicit…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Eric Monfroy

Widespread use of string solvers in formal analysis of string-heavy programs has led to a growing demand for more efficient and reliable techniques which can be applied in this context, especially for real-world cases. Designing an…

Computation and Language · Computer Science 2021-05-18 Murphy Berzish , Joel D. Day , Vijay Ganesh , Mitja Kulczynski , Florin Manea , Federico Mora , Dirk Nowotka

Constraint propagation is a general algorithmic approach for pruning the search space of a CSP. In a uniform way, K. R. Apt has defined a computation as an iteration of reduction functions over a domain. He has also demonstrated the need…

Artificial Intelligence · Computer Science 2007-05-23 Laurent Granvilliers , Eric Monfroy

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

Constraint propagation is one of the techniques central to the success of constraint programming. To reduce search, fast algorithms associated with each constraint prune the domains of variables. With global (or non-binary) constraints, the…

Artificial Intelligence · Computer Science 2009-03-09 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Toby Walsh

This paper presents a novel selective constraint propagation method for constrained image segmentation. In the literature, many pairwise constraint propagation methods have been developed to exploit pairwise constraints for cluster…

Computer Vision and Pattern Recognition · Computer Science 2015-02-06 Peng Han

The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

Programming Languages · Computer Science 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

This paper presents a novel pairwise constraint propagation approach by decomposing the challenging constraint propagation problem into a set of independent semi-supervised learning subproblems which can be solved in quadratic time using…

Artificial Intelligence · Computer Science 2015-03-19 Zhiwu Lu , Horace H. S. Ip , Yuxin Peng

We introduce a novel decision procedure for solving the class of position string constraints, which includes string disequalities, not-prefixof, not-suffixof, str$.$at, and not-str$.$at. These constraints are generated frequently in almost…

Logic in Computer Science · Computer Science 2025-04-11 Yu-Fang Chen , Vojtěch Havlena , Michal Hečko , Lukáš Holík , Ondřej Lengál
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