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Confluence is a fundamental property of Constraint Handling Rules (CHR) since, as in other rewriting formalisms, it guarantees that the computations are not dependent on rule application order, and also because it implies the logical…

Programming Languages · Computer Science 2012-10-10 Rémy Haemmerlé

Graph transformation systems (GTS) have been successfully proposed as a general, theoretically sound model for concurrency. Petri nets (PN), on the other side, are a central and intuitive formalism for concurrent or distributed systems,…

Formal Languages and Automata Theory · Computer Science 2019-09-05 Lorenzo Capra

Modern software systems increasingly incorporate self-* behavior to adapt to changes in the environment at runtime. Such adaptations often involve reconfiguring the software architecture of the system. Many systems also need to manage their…

Artificial Intelligence · Computer Science 2014-07-31 Steffen Ziegert

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

Confluence of a nondeterministic program ensures a functional input-output relation, freeing the programmer from considering the actual scheduling strategy, and allowing optimized and perhaps parallel implementations. The more general…

Programming Languages · Computer Science 2018-09-14 Henning Christiansen , Maja Kirkeby

The paper summarises the contributions in a session at GCM 2019 presenting and discussing the use of native and translation-based solutions to common analysis problems for Graph Transformation Systems (GTSs). In addition to a comparison of…

Software Engineering · Computer Science 2019-12-23 Reiko Heckel , Leen Lambers , Maryam Ghaffari Saadat

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

Controller synthesis is a formal method approach for automatically generating Labeled Transition System (LTS) controllers that satisfy specified properties. The efficiency of the synthesis process, however, is critically dependent on…

Artificial Intelligence · Computer Science 2025-12-18 Toshihide Ubukata , Enhong Mu , Takuto Yamauchi , Mingyue Zhang , Jialong Li , Kenji Tei

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

Graph transformation systems (GTSs) can be seen as wellstructured transition systems (WSTSs), thus obtaining decidability results for certain classes of GTSs. In earlier work it was shown that wellstructuredness can be obtained using the…

Logic in Computer Science · Computer Science 2014-06-19 Barbara König , Jan Stückrath

Abstract simulation of one transition system by another is introduced as a means to simulate a potentially infinite class of similar transition sequences within a single transition sequence. This is useful for proving confluence under…

Programming Languages · Computer Science 2018-10-03 Henning Christiansen , Maja H. Kirkeby

Graph Transformers (GTs) have demonstrated a strong capability in modeling graph structures by addressing the intrinsic limitations of graph neural networks (GNNs), such as over-smoothing and over-squashing. Recent studies have proposed…

Machine Learning · Computer Science 2025-02-28 Chaohao Yuan , Kangfei Zhao , Ercan Engin Kuruoglu , Liang Wang , Tingyang Xu , Wenbing Huang , Deli Zhao , Hong Cheng , Yu Rong

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

Confluence denotes the property of a state transition system that states can be rewritten in more than one way yielding the same result. Although it is a desirable property, confluence is often too strict in practical applications because…

Logic in Computer Science · Computer Science 2018-02-12 Daniel Gall , Thom Frühwirth

We consider the application of Constraint Handling Rules (CHR) for the specification of type inference systems, such as that used by Haskell. Confluence of CHR guarantees that the answer provided by type inference is correct and consistent.…

Programming Languages · Computer Science 2020-02-19 Gregory J. Duck , Remy Haemmerle , Martin Sulzmann

The inference of gene regulatory networks (GRNs) is a foundational stride towards deciphering the fundamentals of complex biological systems. Inferring a possible regulatory link between two genes can be formulated as a link prediction…

Machine Learning · Computer Science 2025-04-25 Binon Teji , Swarup Roy

Graph Representation Learning (GRL) methods have impacted fields from chemistry to social science. However, their algorithmic implementations are specialized to specific use-cases e.g.message passing methods are run differently from node…

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

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

Graph Representation Learning (GRL) has experienced significant progress as a means to extract structural information in a meaningful way for subsequent learning tasks. Current approaches including shallow embeddings and Graph Neural…

Machine Learning · Computer Science 2020-06-19 Antonia Gogoglou , C. Bayan Bruss , Brian Nguyen , Reza Sarshogh , Keegan E. Hines
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