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Computing in Horn clause theories / Peter Padawitz.

By: Material type: TextTextSeries: EATCS monographs on theoretical computer science ; v 16.Publication details: Berlin : Springer-Verlag, ©1988.Description: xi, 322 p. : ill. ; 26 cmISBN:
  • 0387194274
Subject(s): DDC classification:
  • 005.11 23 P123
Contents:
1. Introduction-- 2. Basic notions-- 3. Sample specifications-- 4. Models and theories-- 5. Resolution and paramodulation-- 6. The relevance of constructors-- 7. Reduction-- 8. Narrowing-- 9. Church-Rosser criteria-- References-- Indexes.
Summary: This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving. The common background is Horn logic with equality. Although this logic does not cover the full first-order logic, it supplies us with a language that allows "natural" problem specifications, offers several semantical views (functional, relational, inductive, behavioural, etc.) and puts at our disposal a number of more or less special-purpose deductive methods, which can be used as rapid prototyping tools.
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Includes indexes.

Bibliography: p. [307]-316.

1. Introduction--
2. Basic notions--
3. Sample specifications--
4. Models and theories--
5. Resolution and paramodulation--
6. The relevance of constructors--
7. Reduction--
8. Narrowing--
9. Church-Rosser criteria--
References--
Indexes.

This book presents a unifying approach to semantical concepts and deductive methods used in recursive, equational and logic programming, data type specification and automated theorem-proving. The common background is Horn logic with equality. Although this logic does not cover the full first-order logic, it supplies us with a language that allows "natural" problem specifications, offers several semantical views (functional, relational, inductive, behavioural, etc.) and puts at our disposal a number of more or less special-purpose deductive methods, which can be used as rapid prototyping tools.

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