Instantiation Theory: On the Foundations of Automated Deduction: 518 - Brossura

Williams, James G.

 
9783540543336: Instantiation Theory: On the Foundations of Automated Deduction: 518
Brossura
ISBN 10: 3540543333 ISBN 13: 9783540543336
Casa editrice: Springer Berlin Heidelberg, 2008

Sinossi

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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Contenuti

Background.- General approaches to instantiation.- Classification properties.- Homomorphisms.- Construct bases.- Unification - an algorithm and its soundness.- Term-implementation and completeness.- Implementation and computational complexity.- Related issues not addressed.

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Editore
Springer Berlin Heidelberg
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
3540543333
ISBN 13 
9783540543336
Rilegatura
Copertina flessibile
Numero di pagine
148
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9780387543338: Instantiation Theory: On the Foundations of Automated Deduction

Edizione in evidenza

ISBN 10:  0387543333 ISBN 13:  9780387543338
Casa editrice: Springer-Verlag, 1991
Brossura