Computational cognitive modeling explores cognition by building computational models for cognitive processes, mechanisms and representations. Currently, implementations of cognitive models lack a formal foundation. This inhibits analysis. In this thesis, the cognitive architecture Adaptive Control of Thought - Rational (ACT-R) is formalized and embedded into the rule-based programming language Constraint Handling Rules (CHR). The powerful analytical methods of CHR, particularly confluence analysis, are extended by reasoning modulo equivalence relations. The results are applied to the domain of cognitive modeling.

Constraint Handling Rules (CHR) is both a theoretical formalism and a practical programming language. This book provides an overview of CHR research based on a reviewed selection of doctoral theses. After a basic introduction to CHR, the book presents results from three different areas of CHR research: compilation and optimization, execution strategies, and program analysis. The chapters offer in-depth treatises of selected subjects, supported by a wealth of examples. The book is ideal for master students, lecturers, and researchers.

This book constitutes the refereed proceedings of the 10th International RuleML Symposium, RuleML 2016, held in New York, NY, USA during July 2016. The 19 full papers, 1 short paper, 2 keynote abstracts, 2 invited tutorial papers, 1 invited standard paper, presented were carefully reviewed and selected from 36 submissions. RuleML is a leading conference aiming to build bridges between academia and industry in the field of rules and its applications, especially as part of the semantic technology stack. It is devoted to rule-based programming and rule-based systems including production rule systems, logic programming rule engines, and business rule engines and business rule management systems, Semantic Web rule languages and rule standards and technologies, and research on inference rules, transformation rules, decision rules, and ECA rules.

This book constitutes the proceedings of the International Joint Conference on Rules and Reasoning, RuleML+RR 2017, held in London, UK, during July 2017. This is the first conference of a new series, joining the efforts of two existing conference series, namely “RuleML” (International Web Rule Symposium) and “RR” (Web Reasoning and Rule Systems). The 16 regular papers presented together with 2 keynote abstracts were carefully reviewed and selected from 29 submissions. The RR conference series has been a forum for discussion and dissemination of new results on all topics concerning Web Reasoning and Rule Systems, with an emphasis on rule-based approaches and languages. The RuleML conference series has been devoted to disseminating research, applications, languages and standards for rule technologies, with attention to both theoretical and practical developments, to challenging new ideas and industrial applications. Both series of conferences aimed at building bridges between academia and industry in the field of rules and their applications. Therefore, RuleML+RR is expected to become a leading conference for all subjects concerning theoretical advances, novel technologies, and innovative applications about knowledge representation and reasoning with rules. This new joint conference provides a valuable forum for stimulating cooperation and cross-fertilization between the many different communities focused on the research, development and applications of rule-based systems. It provides the possibility to present and discuss applications of rules and reasoning in academia, industry, engineering, business, finance, healthcare and other application areas.

This book constitutes the thoroughly refereed post-conference proceedings of the 24th International Symposium on Logic-Based Program Synthesis and Transformation, LOPSTR 2014, held in Canterbury, UK, in September 2014. The 18 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 34 submissions. The aim of the LOPSTR series is to stimulate and promote international research and collaboration on logic-based program development. The papers are organized along a set of thematic tracks: program analysis and transformation, constraint handling rules, termination analysis, security, program testing and verification, program synthesis, program derivation, semantic issues in logic programming and program transformation and optimization.

The non-deterministic rule-based programming language of Constraint Handling Rules (CHR) features a remarkable combination of desirable properties: a foundation in classical logic, powerful analysis methods for deciding program properties – especially confluence – and an efficient execution model. Upon a closer look, we observe several limitations to this asset. In this thesis, we introduce several concepts to amend for these short- comings. Firstly, we propose an unusually concise formulation of the two most important semantic interpretations of CHR. Secondly, we analyse the relationship between the major diverging interpretations of CHR. Finally, we found CHR on intuitionistic linear logic.

Gathering insightful and stimulating contributions from leading global experts in Artificial Intelligence in Education (AIED), this comprehensive Handbook traces the development of AIED from its early foundations in the 1970s to the present day.