Semantic trees: New foundations for automatic theorem-proving
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Abstract
This dissertation is concerned with theorem-proving
by computer. It does not contain a great
number of new results, in the sense of new
computational devices for improving the efficiency
of theorem-proving programs. Rather it is intended
as an account of a new approach to the fundamentals
of the subject. It is a work, in the main, of
consolidation and entrenchment rather than of
extension.
Accordingly, rather a large fraction of the
total is devoted to an examination - a re-examination
in fact, since there have been others before me -
of the ideas and presuppositions underlying theorem-proving,
and an attempt to uncover the underlying
reasons why certain ideas - notably that of search -
have arisen so consistently in the history of the
-" subject.
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