Mathematical Aspects of Logic Programming Semantics

ISBN-13: 9781138114227 / Angielski / Miękka / 2017 / 304 str.

Pascal Hitzler; I Anthony Seda (University College Cork

Opis

Covering the authors' own state-of-the-art research results, Mathematical Aspects of Logic Programming Semantics presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The book covers topics spanning the period from the early days of logic programming to current times. It discusses applications to computational logic and potential applications to the integration of models of computation, knowledge representation and reasoning, and the Semantic Web. The authors develop well-known and important semantics in logic programming from a unified point of view using both order theory and new, nontraditional methods. They closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks. For readers interested in the interface between mathematics and computer science, this book offers a detailed development of the mathematical techniques necessary for studying the semantics of logic programs. It illustrates the main semantics of logic programs and applies the methods in the context of neural-symbolic integration.

Recenzje

… Much of the material has been generated by [the authors’] own collaboration over the past decade, but they also integrate research results by others. A major feature is that they significantly transcend the tools and methods from the order theory traditionally used in this context, to include non-traditional methods from mathematical analysis depending on topology, generalized distance functions, and their associated fixed-point theory. …
—SciTech Book News, February 2011

Spis treści

Order and Logic. The Semantics of Logic Programs. Topology and Logic Programming. Fixed-Point Theory for Generalized Metric Spaces. Supported Model Semantics. Stable and Perfect Model Semantics. Logic Programming and Artificial Neural Networks. Final Thoughts. Appendix. Bibliography. Index.