Mathematical Aspects of Logic Programming Semantics

Pascal Hitzler, Anthony Seda

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English

CRC Press Inc
22 November 2010

Information theory; Software Engineering; Systems analysis & design

Series: Chapman & Hall/CRC Studies in Informatics Series

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.

By: Pascal Hitzler, Anthony Seda
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 6
Dimensions: Height: 234mm, Width: 156mm, Spine: 23mm
Weight: 560g
ISBN: 9781439829615
ISBN 10: 1439829616
Series: Chapman & Hall/CRC Studies in Informatics Series
Pages: 304
Publication Date: 22 November 2010
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

Pascal Hitzler is an assistant professor in the Kno.e.sis Center for Knowledge-Enabled Computing, which is an Ohio Center of Excellence at Wright State University. Dr. Hitzler is editor-in-chief of the journal Semantic Web -- Interoperability, Usability, Applicability and co-author of the textbook Foundations of Semantic Web Technologies (CRC Press, August 2009). His research interests encompass the Semantic Web, neural-symbolic integration, knowledge representation and reasoning, denotational semantics, and set-theoretic topology. Anthony Seda is a senior lecturer in the Department of Mathematics and co-founder of the Boole Centre for Research in Informatics at University College Cork. Dr. Seda is an editorial board member of Information and the International Journal of Advanced Intelligence. His research interests include measure theory, functional analysis, topology, fixed-point theory, denotational semantics, and the semantics of logic programs.

Reviews for Mathematical Aspects of Logic Programming Semantics

! 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