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From Logic to Logic Programming

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This mathematically oriented introduction to the theory of logic programming presents a systematic exposition of the resolution method for propositional, first-order, and Horn- clause logics, together with an analysis of the semantic aspects of the method. It is through the inference rule of resolution that both proofs and computations can be manipulated on computers, and this book contains elegant versions and proofs of the fundamental theorems and lemmas in the proof theory of logic programming. Advanced topics such as recursive complexity and negation as failure and its semantics are covered, and streamlined setups for SLD- and SLDNF-resolution are described. No other book treats this material in such detail and with such sophistication. Doets provides a novel approach to resolution that is applied to the first-order case and the case of (positive) logic programs. In contrast to the usual approach, the concept of a resolvent is defined nonconstructively, without recourse to the concept of unification, allowing the soundness and completeness proofs to be carried out in a more economic way. Other new material includes computability results dealing with analytical hierarchy, results on infinite derivations and an exposition on general logic programs using 3-valued logic.OCLC-licensed vendor bibliographic record.

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Detail Information

Series Title

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Call Number

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Publisher

Cambridge, Massachusetts : The MIT Press., 1994

Collation

1 online resource (xii, 214 pages) :illustrations.

Language

English

ISBN/ISSN

9780262288477

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Logic programming.

Specific Detail Info

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Statement of Responsibility

Kees Doets

Other Information

Cataloger

heri

Source

https://direct.mit.edu/books/monograph/3948/From-Logic-to-Logic-Programming

Validator

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Digital Object Identifier (DOI)

https://doi.org/10.7551/mitpress/3133.001.0001

Journal Volume

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Journal Issue

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