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Constraint Handling Rules (CHR) are a committed-choice declarative language which has been designed for writing constraint solvers. A CHR program consists of multi-headed guarded rules which allow one to rewrite constraints into simpler…

Programming Languages · Computer Science 2007-05-23 Maurizio Gabbrielli , Maria Chiara Meo

CHR is a declarative, concurrent and committed choice rule-based constraint programming language. We extend CHR with multiset comprehension patterns, providing the programmer with the ability to write multiset rewriting rules that can match…

Programming Languages · Computer Science 2014-06-10 Edmund S. L. Lam , Iliano Cervesato

Constraint Handling Rules (CHR) is a rule-based programming language which is typically embedded into a general-purpose language. There exists a plethora of implementations for numerous host languages. However, the existing implementations…

Programming Languages · Computer Science 2026-01-08 Sascha Rechenberger , Thom Frühwirth

Constraint Handling Rules (CHR) is a declarative committed-choice programming language with a strong relationship to linear logic. Its generalization CHR with Disjunction (CHRv) is a multi-paradigm declarative programming language that…

Programming Languages · Computer Science 2010-09-16 Hariolf Betz , Thom W. Frühwirth

Constraint Handling Rules (CHR) is a rule-based programming language which is typically embedded into a general-purpose language. There exists a plethora of implementations of CHR for numerous host languages. However, the existing…

Programming Languages · Computer Science 2025-05-29 Sascha Rechenberger , Thom Frühwirth

Constraint Handling Rules (CHR) is both an effective concurrent declarative constraint-based programming language and a versatile computational formalism. While conceptually simple, CHR is distinguished by a remarkable combination of…

Programming Languages · Computer Science 2017-01-11 Thom Fruehwirth

We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate…

Logic in Computer Science · Computer Science 2010-07-23 Hariolf Betz , Frank Raiser , Thom Frühwirth

Constraint Handling Rules (CHR) have provided a realistic solution to an over-arching problem in many fields that deal with constraint logic programming: how to combine recursive functions or relations with constraints while avoiding…

Computation and Language · Computer Science 2007-05-23 Gerald Penn

We present a straightforward source-to-source transformation that introduces justifications for user-defined constraints into the CHR programming language. Then a scheme of two rules suffices to allow for logical retraction (deletion,…

Artificial Intelligence · Computer Science 2017-09-12 Thom Fruehwirth

Grammars written as Constraint Handling Rules (CHR) can be executed as efficient and robust bottom-up parsers that provide a straightforward, non-backtracking treatment of ambiguity. Abduction with integrity constraints as well as other…

Programming Languages · Computer Science 2007-05-23 Henning Christiansen

Constraint Handling Rules (CHR) is a committed-choice rule-based language that was originally intended for writing constraint solvers. In this paper we show that it is also possible to write the classic union-find algorithm and variants in…

Programming Languages · Computer Science 2007-05-23 Tom Schrijvers , Thom Fruehwirth

Constraint Handling Rules (CHR) is a committed-choice declarative language which has been originally designed for writing constraint solvers and which is nowadays a general purpose language. CHR programs consist of multi-headed guarded…

Logic in Computer Science · Computer Science 2011-01-19 Cinzia Di Giusto , Maurizio Gabbrielli , Maria Chiara Meo

Constraint Handling Rules (CHR) is a rule-based programming language that rewrites collections of constraints. It is typically embedded into a general-purpose language. There exists a plethora of implementation for numerous host languages.…

Programming Languages · Computer Science 2025-08-26 Sascha Rechenberger , Thom Frühwirth

This paper is concerned with rule-based programs that go wrong. The unwanted behavior of rule applications is non-termination or failure of a computation. We propose a static program analysis of the non-termination problem for recursion in…

Programming Languages · Computer Science 2017-01-11 Thom Fruehwirth

Constraint Handling Rules (CHR) is a high-level programming language based on multi-headed multiset rewrite rules. Originally designed for writing user-defined constraint solvers, it is now recognized as an elegant general purpose language.…

Programming Languages · Computer Science 2009-06-25 Jon Sneyers , Peter Van Weert , Tom Schrijvers , Leslie De Koninck

In this paper we discuss the optimizing compilation of Constraint Handling Rules (CHRs). CHRs are a multi-headed committed choice constraint language, commonly applied for writing incremental constraint solvers. CHRs are usually implemented…

Programming Languages · Computer Science 2010-09-03 Christian Holzbaur , Maria Garcia de la Banda , Peter J. Stuckey , Gregory J. Duck

Previous results on proving confluence for Constraint Handling Rules are extended in two ways in order to allow a larger and more realistic class of CHR programs to be considered confluent. Firstly, we introduce the relaxed notion of…

Logic in Computer Science · Computer Science 2016-11-22 Henning Christiansen , Maja H. Kirkeby

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

Logic programming with fixed-point definitions is a useful extension of traditional logic programming. Fixed-point definitions can capture simple model checking problems and closed-world assumptions. Its operational semantics is typically…

Logic in Computer Science · Computer Science 2015-08-06 Keehang Kwon

Computational psychology has the aim to explain human cognition by computational models of cognitive processes. The cognitive architecture ACT-R is popular to develop such models. Although ACT-R has a well-defined psychological theory and…

Logic in Computer Science · Computer Science 2017-02-07 Daniel Gall , Thom Frühwirth
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