Trends in Logic

Substructural Logics: A Primer

Authors: Paoli, F.

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About this book

Substructural logics are by now one of the most prominent branches of the research field usually labelled as "nonclassical logics" - and perhaps of logic tout court. Over the last few decades a vast amount of research papers and even some books have been devoted to this subject. The aim of the present book is to give a comprehensive account of the "state of the art" of substructural logics, focusing both on their proof theory (especially on sequent calculi and their generalizations) and on their semantics (both algebraic and relational).
Readership: This textbook is designed for a wide readership: graduate students in either philosophy, mathematics, theoretical computer science or theoretical linguistics with no previous knowledge of the subject (except for a working knowledge of elementary logic) will be gradually introduced into the field starting from its basic foundations; specialists and researchers in the area will find an up-to-date survey of the most important current research topics and problems.

Reviews

From the reviews:

"This is a well written introduction to … substructural logics. … The author’s aim is to deal with a particular group of these logics … . In fact, the book could be well used as a textbook for an undergraduate course, or even for a beginning graduate course. … A further advantage of the text is that the logics are introduced in a new unified notational system making the first chapters a handy reference for any logician who works in this area of logic." (Katalin Bimbo, Mathematical Reviews, Issue 2005 b)


Table of contents (7 chapters)

  • The Role of Structural Rules in Sequent Calculi

    Paoli, Francesco

    Pages 3-37

  • Basic Proof Systems for Substructural Logics

    Paoli, Francesco

    Pages 41-85

  • Cut Elimination and the Decision Problem

    Paoli, Francesco

    Pages 87-113

  • Other Formalisms

    Paoli, Francesco

    Pages 115-155

  • Algebraic Structures

    Paoli, Francesco

    Pages 159-197

Buy this book

eBook $209.00
price for USA (gross)
  • ISBN 978-94-017-3179-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $269.00
price for USA
  • ISBN 978-1-4020-0605-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $269.00
price for USA
  • ISBN 978-90-481-6014-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Substructural Logics: A Primer
Authors
Series Title
Trends in Logic
Series Volume
13
Copyright
2002
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-3179-9
DOI
10.1007/978-94-017-3179-9
Hardcover ISBN
978-1-4020-0605-0
Softcover ISBN
978-90-481-6014-3
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XIII, 305
Topics