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Labelled Deductive Systems Vol 1 Gabbay 1996 Oxford Logic Guides Hardcover NF

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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
Book Title
Labelled Deductive Systems
ISBN
9780198538332

About this product

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0198538332
ISBN-13
9780198538332
eBay Product ID (ePID)
514678

Product Key Features

Number of Pages
510 Pages
Publication Name
Labelled Deductive Systems
Language
English
Subject
General, Logic
Publication Year
1996
Type
Textbook
Subject Area
Mathematics, Philosophy
Author
Dov M. Gabbay
Series
Oxford Logic Guides
Format
Hardcover

Dimensions

Item Height
1.3 in
Item Weight
30.6 Oz
Item Length
9.5 in
Item Width
6.3 in

Additional Product Features

Intended Audience
College Audience
LCCN
96-025507
Dewey Edition
21
Reviews
'The wole exposition has been permeated wiht instructive, interesting and witty examples. The book opens a number of new interesting model-theoretic, proof-theoretic and foundational questions and seems to be a reasonable basis for new further investigations. ...Undoubtedly, this will be onof the inspiring sources motivating others to work in those fields.'B. Boricic, Zentrallblatt fur Mathematik und ihre Grenzgebiete No. 858, 1997, 'The wole exposition has been permeated wiht instructive, interesting and witty examples. The book opens a number of new interesting model-theoretic, proof-theoretic and foundational questions and seems to be a reasonable basis for new further investigations. ...Undoubtedly, this will be onof the inspiring sources motivating others to work in those fields.' B. Boricic, Zentrallblatt fur Mathematik und ihre Grenzgebiete No. 858, 1997, "The book presents the formal machinery of LDSs (Labelled deductive systems): proof theory, semantics, and algebraic LDSs, with many examples: modal and tense logics, fuzzy and many-valued logics, linear and relevant logics, nonmonotonic logic, etc. . . .this book will be of great interest for anyone who wants to grasp, together with a number of formal techniques, a multiplicity of logical systems, mostly related to computer science and artificial intelligence." --Mathematical Reviews, "The book presents the formal machinery of LDSs (Labelled deductive systems): proof theory, semantics, and algebraic LDSs, with many examples: modal and tense logics, fuzzy and many-valued logics, linear and relevant logics, nonmonotonic logic, etc. . . .this book will be of great interest for anyone who wants to grasp, together with a number of formal techniques, a multiplicity of logical systems, mostly related to computer science and artificial intelligence." -- Mathematical Reviews, 'The wole exposition has been permeated wiht instructive, interesting and witty examples. The book opens a number of new interesting model-theoretic, proof-theoretic and foundational questions and seems to be a reasonable basis for new further investigations. ...Undoubtedly, this will be on of the inspiring sources motivating others to work in those fields.'B. Boricic, Zentrallblatt fur Mathematik und ihre Grenzgebiete No. 858, 1997, The book is carefully written from a mathematical standpoint. It is also very pleasant to read, thanks to the clear and good-humoured writing style of Professor Gabbay... it should be of interest to those researchers and students of applied logics as well as those geared towards foundational and mathematical aspects of logic.
Series Volume Number
33
Volume Number
Vol. 1
Illustrated
Yes
Dewey Decimal
511.3
Table Of Content
1. What is a logical system?2. Introducing Labelled Deductive Systems3. Algebraic LDS4. General LDS5. Resource logics6. Translation of LDS7. LDS formulation8. Curry-Howard interpretation9. Structured consequence relations10. Labelled analytic deduction11. Abduction in Labelled Deductive Systems
Synopsis
This important book provides a new unifying methodology for logic. It replaces the traditional view of logic as manipulating sets of formulas with the notion of structured families of labelled formulas with algebraic structures. This approach has far reaching consequences for the methodology of logics and their semantics, and the book studies the main features of such systems along with their applications. It will interest logicians, computer scientists, philosophers and linguists., This book introduces a new unifying framework for logics which makes it particularly suitable for applications. It develops its general theory and illustrates it with applications in logic, computer science, artificial intelligence, and philosophy., This important book provides a new unifying methodology for logic. It replaces the traditional view of logic as manipulating sets of formulas by the notion of structured families of labelled formulas, the labels having algebraic structure. This simple device has far reaching consequences for the methodology of logics and their semantics. The book studies the main features of such systems as well as many applications.The framework of Labelled Deductive Systems is of interest to a large variety of readers. At one extreme there is the pure mathematical logician who likes exact formal definitions and dry theorems, who probably specializes in one logic and methodology. At the other extreme there is the practical consumer of logic, who likes to absorb the intutions and use labelling as needed to advance the cause of applications.The book begins with an intuitive presentation of LDS in the context of traditional current views of monotonic and nonmonotonic logics. It is less orientated towards the pure logician and more towards the practical consumer of logic.The main part of the book presents the formal theory of LDS for the formal logician. The author has tried to avoid the style of definition-lemma-theorem and has put in some explanation.
LC Classification Number
BC71.G3 1996

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