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. "
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