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We present two methods for proving confluence of left-linear term rewrite systems. One is hot-decreasingness, combining the parallel/development closedness theorems with rule labelling based on a terminating subsystem. The other is…

Logic in Computer Science · Computer Science 2019-06-04 Nao Hirokawa , Julian Nagele , Vincent van Oostrom , Michio Oyamaguchi

Computational cognitive modeling investigates human cognition by building detailed computational models for cognitive processes. Adaptive Control of Thought - Rational (ACT-R) is a rule-based cognitive architecture that offers a widely…

Logic in Computer Science · Computer Science 2017-05-24 Daniel Gall , Thom Frühwirth

Constraint Handling Rules (CHR) is a declarative rule-based formalism and language. Concurrency is inherent as rules can be applied to subsets of constraints in parallel. Parallel implementations of CHR, be it in software, be it in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-24 Thom Frühwirth , Daniel Gall

Programming languages and techniques based on logic and constraints, such as the Constraint Handling Rules (CHR), can support many common programming tasks that can be expressed in the form of a search for feasible or optimal solutions.…

Programming Languages · Computer Science 2013-08-20 Dragan Ivanović

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

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

(To appear in Theory and Practice of Logic Programming (TPLP)) We introduce a systematic, concurrent execution scheme for Constraint Handling Rules (CHR) based on a previously proposed sequential goal-based CHR semantics. We establish…

Programming Languages · Computer Science 2010-06-22 Edmund S. L. Lam , Martin Sulzmann

We show that (local) confluence of terminating locally constrained rewrite systems is undecidable, even when the underlying theory is decidable. Several confluence criteria for logically constrained rewrite systems are known. These were…

Logic in Computer Science · Computer Science 2024-07-02 Jonas Schöpf , Fabian Mitterwallner , Aart Middeldorp

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

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

We study the combination of the following already known ideas for showing confluence of unconditional or conditional term rewriting systems into practically more useful confluence criteria for conditional systems: Our syntactical separation…

Artificial Intelligence · Computer Science 2009-02-23 Claus-Peter Wirth

Constraint Handling Rules (CHRs) are a high-level rule-based programming language for specification and implementation of constraint solvers. CHR manipulates a global store representing a flat conjunction of constraints. By default, CHR…

Programming Languages · Computer Science 2012-10-22 Gregory J. Duck

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

Tabled Constraint Logic Programming is a powerful execution mechanism for dealing with Constraint Logic Programming without worrying about fixpoint computation. Various applications, e.g in the fields of program analysis and model checking,…

Programming Languages · Computer Science 2007-12-27 Tom Schrijvers , Bart Demoen , David S. Warren

The rule labeling heuristic aims to establish confluence of (left-)linear term rewrite systems via decreasing diagrams. We present a formalization of a confluence criterion based on the interplay of relative termination and the rule…

Logic in Computer Science · Computer Science 2020-05-13 Julian Nagele , Bertram Felgenhauer , Harald Zankl

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

This paper presents the constrained Hybrid Metaheuristic (cHM) algorithm as a general framework for continuous optimisation. Unlike many existing metaheuristics that are tailored to specific function classes or problem domains, cHM is…

Neural and Evolutionary Computing · Computer Science 2026-03-20 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

Constraint Logic Programming (CLP) and Hereditary Harrop formulas (HH) are two well known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the…

Programming Languages · Computer Science 2007-05-23 Javier Leach , Susana Nieva , Mario Rodriguez-Artalejo

Numerous confluence criteria for plain term rewrite systems are known. For logically constrained rewrite system, an attractive extension of term rewriting in which rules are equipped with logical constraints, much less is known. In this…

Logic in Computer Science · Computer Science 2024-11-12 Jonas Schöpf , Aart Middeldorp

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

Computational Geometry · Computer Science 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng