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Goal-Directed Proof Theory

  • Book
  • © 2000

Overview

Authors:
  1. Dov M. Gabbay

    1. Department of Computer Science, King’s College, London, UK

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  2. Nicola Olivetti

    1. Universitá di Torino, Torino, Italy

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Logic Series (APLS, volume 21)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Dov M. Gabbay, Nicola Olivetti
    Pages 1-19

  3. Intuitionistic and Classical Logics

    • Dov M. Gabbay, Nicola Olivetti
    Pages 21-91

  4. Intermediate Logics

    • Dov M. Gabbay, Nicola Olivetti
    Pages 93-115

  5. Modal Logics of Strict Implication

    • Dov M. Gabbay, Nicola Olivetti
    Pages 117-169

  6. Substructural Logics

    • Dov M. Gabbay, Nicola Olivetti
    Pages 171-248

  7. Conclusions and Further Work

    • Dov M. Gabbay, Nicola Olivetti
    Pages 249-254

  8. Back Matter

    Pages 255-268
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Keywords

About this book

Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective.
Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.

Authors and Affiliations

  • Department of Computer Science, King’s College, London, UK

    Dov M. Gabbay

  • Universitá di Torino, Torino, Italy

    Nicola Olivetti

Bibliographic Information

  • Book Title: Goal-Directed Proof Theory

  • Authors: Dov M. Gabbay, Nicola Olivetti

  • Series Title: Applied Logic Series

  • DOI: https://doi.org/10.1007/978-94-017-1713-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2000

  • Hardcover ISBN: 978-0-7923-6473-3Published: 31 August 2000

  • Softcover ISBN: 978-90-481-5526-2Published: 04 December 2010

  • eBook ISBN: 978-94-017-1713-7Published: 17 April 2013

  • Series ISSN: 1386-2790

  • Edition Number: 1

  • Number of Pages: X, 268

  • Topics: Logic, Programming Languages, Compilers, Interpreters

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