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Author Rybakov, Vladimir V. (Vladimir Vladimir), 1961-

Title Admissibility of logical inference rules / Vladimir V. Rybakov.

Imprint Amsterdam ; New York : Elsevier, 1997.

Copies

Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Description 1 online resource (617 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Studies in logic and the foundations of mathematics ; v. 136
Studies in logic and the foundations of mathematics ; v. 136.
Summary The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on: & bull; <IT>admissible</IT> or <IT>permissible</IT> inference rules & bull; the derivability of the admissible inference rules & bull; the structural completeness of logics & bull; the bases for admissible and valid inference rules. There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered. The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included. The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.
Bibliography Includes bibliographical references (pages 603-617) and index.
Note Print version record.
Subject Logic, Symbolic and mathematical.
Inference.
Inférence (Logique)
Logique symbolique et mathématique.
MATHEMATICS -- Infinity.
MATHEMATICS -- Logic.
Inference
Logic, Symbolic and mathematical
Logica.
Modeltheorie.
Logica matematica.
Other Form: Print version: Rybakov, Vladimir V. (Vladimir Vladimir), 1961- Admissibility of logical inference rules. Amsterdam ; New York : Elsevier, 1997 0444895051 9780444895059 (DLC) 96006560 (OCoLC)36701972
ISBN 9780444895059
0444895051
9780080525990 (electronic bk.)
0080525997 (electronic bk.)
Standard No. AU@ 000048130378
CHNEW 001005789
DEBBG BV036962258
DEBBG BV039830126
DEBBG BV042317272
DEBSZ 276893093
DEBSZ 482352566
NZ1 12432871
NZ1 15192835
DKDLA 820120-katalog:9910110380005765

 
    
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