Instantiation Theory

Name: Instantiation Theory
Brand: Springer, Berlin
SKU: 9783540543336
Price: 50.06 EUR
Availability: InStock

On the Foundations of Automated Deduction

Autor: James G. Williams

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

Dostupnosť: Skladom u dodávateľa

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Instantiation Theory presents a new, general unification algorithm that is of immediate use in build...

Informácie o knihe

Autor

James G. Williams

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

1991

Stránok

136

EAN

9783540543336

ISBN

3540543333

Enbook ID

01565434

Vydavateľ

Springer, Berlin

Hmotnosť

250

Rozmery

155 x 235 x 8

Kompletný popis

Instantiation Theory presents a new, general unification algorithm that is of immediate use in building theorem provers and logic programming systems. Instantiation theory is the study of instantiation in an abstract context that is applicable to most commonly studied logical formalisms. The volume begins with a survey of general approaches to the study of instantiation, as found in tree systems, order-sorted algebras, algebraic theories, composita, and instantiation systems. A classification of instantiation systems is given, based on properties of substitutions, degree of type strictness, and well-foundedness of terms. Equational theories and the use of typed variables are studied in terms of quotient homomorphisms and embeddings, respectively. Every instantiation system is a quotient system of a subsystem of first-order term instantiation. The general unification algorithm is developed as an application of the basic theory. Its soundness is rigorously proved, and its completeness and efficiency are verfied for certain classes of instantiation systems. Appropriate applications of the algorithm include unification of first-order terms, order-sorted terms, and first-order formulas modulo alpha-conversion, as well as equational unification using simple congruences.

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Instantiation Theory

On the Foundations of Automated Deduction

Informácie o knihe

Kompletný popis

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