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Instantiation Theory: On the Foundations of Automated Deduction (Lecture Notes in Computer Science) [Paperback]

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Item description for Instantiation Theory: On the Foundations of Automated Deduction (Lecture Notes in Computer Science) by James G. Williams...

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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Item Specifications...


Pages   133
Est. Packaging Dimensions:   Length: 8.8" Width: 6.4" Height: 0.4"
Weight:   0.55 lbs.
Binding  Softcover
Release Date   Sep 12, 1991
Publisher   Springer
ISBN  3540543333  
ISBN13  9783540543336  


Availability  95 units.
Availability accurate as of Jan 24, 2017 06:32.
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Product Categories

1Books > Subjects > Computers & Internet > Computer Science > Artificial Intelligence > Computer Mathematics
2Books > Subjects > Computers & Internet > Computer Science > Artificial Intelligence > General
3Books > Subjects > Computers & Internet > Computer Science > Artificial Intelligence > Theory of Computing
4Books > Subjects > Computers & Internet > General
5Books > Subjects > Computers & Internet > Programming > Algorithms > General
6Books > Subjects > Computers & Internet > Programming > General
7Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Logic
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Pure Mathematics > Logic



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