The ability to draw inferences is a central operation in any
artificial intelligence system. Automated reasoning is therefore
among the traditional disciplines in AI. Theory reasoning is about
techniques for combining automated reasoning systems with
specialized and efficient modules for handling domain knowledge
called background reasoners.
Connection methods have proved to be a good choice for implementing
high-speed automated reasoning systems. They are the starting point
in this monograph, in which several theory reasoning versions are
defined and related to each other. A major contribution of the book
is a new technique of linear completion allowing for the automatic
construction of background reasoners from a wide range of
axiomatically given theories. The emphasis is on theoretical
investigations, but implementation techniques based on Prolog are
also covered.
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