Covering the authors' own state-of-the-art research results, this book 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 authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

chapter Chapter 1|21 pages

Order and Logic

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chapter Chapter 2|42 pages

The Semantics of Logic Programs

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chapter Chapter 3|21 pages

Topology and Logic Programming

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chapter Chapter 5|29 pages

Supported Model Semantics

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chapter Chapter 6|15 pages

Stable and Perfect Model Semantics

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chapter Chapter 8|7 pages

Final Thoughts

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