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Audiobooks & Video Training Computational Aspects of an Order-Sorted Logic with Term Declarations

Posted on 2010-10-18




Name:Audiobooks & Video Training Computational Aspects of an Order-Sorted Logic with Term Declarations
ASIN/ISBN:3540517057
Publish Date:1989
Pages:171 pages
File size:10.4 Mb
Publish Date: 1989
ISBN: 3540517057
Pages: 171 pages
File Type: PDF
File Size: 10,4 MB
Other Info: Springer
   Audiobooks & Video Training Computational Aspects of an Order-Sorted Logic with Term Declarations

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Manfred Schmidt-Schauß, "Computational Aspects of an Order-Sorted Logic with Term Declarations"

Preface

In this volume the logical foundations and the computational aspects of a rather general

order-sorted logic are investigated. This sorted logic extends first order logic by a partially

ordered set of sorts, such that every term is of a particular sort or type and such that only

well-sorted substitutions are permitted.

Several sorted unification algorithms are described which work for different signatures

with or without equational theories. The type and the complexity of sorted unification is

determined for different types of signatures. The type can range from unary to infinitary and

the time complexity ranges from linear up to undecidable, even without defining equations.

Different sorted resolution-based calculi for clause sets with and without equations are

described and their refutation-completeness is investigated.

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