Trends in Logic

Advances in Natural Deduction

A Celebration of Dag Prawitz's Work

Editors: Pereira, Luiz Carlos, haeusler, edward, de Paiva, Valeria (Eds.)

  • First comprehensive collection to cover the diverse elements of natural deduction, and a celebration of the ground-breaking work of Dag Prawitz  
  • Surveys the full range of novel research directions  
  • Collects original papers covering the work of celebrated figures in the field of natural deduction​
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Hardcover $159.00
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Softcover $159.00
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  • Due: October 20, 2016
  • ISBN 978-94-024-0687-0
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his  seminal  research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and  Theoretical Computer Science.

The range of contributions includes material on the extension of natural deduction with higher-order rules, as opposed to higher-order connectives, and a paper discussing the application of natural deduction rules to dealing with equality in predicate calculus. The volume continues with a key chapter summarizing work on the extension of the Curry-Howard isomorphism (itself a by-product of the work on natural deduction), via methods of category theory that have been successfully applied to linear logic, as well as many other contributions from highly regarded authorities. With an illustrious group of contributors addressing a wealth of topics and applications, this volume is a valuable addition to the libraries of academics in the multiple disciplines whose development has been given added scope by the methodologies supplied by natural deduction. The volume is representative of the rich and varied directions that Prawitz work has inspired in the area of natural deduction.

Table of contents (12 chapters)

  • Generalized Elimination Inferences, Higher-Level Rules, and the Implications-as-Rules Interpretation of the Sequent Calculus

    Schroeder-Heister, Peter

    Pages 1-29

  • Revisiting Zucker’s Work on the Correspondence Between Cut-Elimination and Normalisation

    Urban, Christian

    Pages 31-50

  • Proofs, Reasoning and the Metamorphosis of Logic

    Joinet, Jean-Baptiste

    Pages 51-61

  • Natural Deduction for Equality: The Missing Entity

    de Queiroz, Ruy J. G. B. (et al.)

    Pages 63-91

  • Paul Hertz’s Systems of Propositions As a Proof-Theoretical Conception of Logic

    Legris, Javier

    Pages 93-101

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-94-007-7548-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-94-007-7547-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-94-024-0687-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Natural Deduction
Book Subtitle
A Celebration of Dag Prawitz's Work
Editors
  • Luiz Carlos Pereira
  • edward haeusler
  • Valeria de Paiva
Series Title
Trends in Logic
Series Volume
39
Copyright
2014
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-7548-0
DOI
10.1007/978-94-007-7548-0
Hardcover ISBN
978-94-007-7547-3
Softcover ISBN
978-94-024-0687-0
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XVI, 279
Number of Illustrations and Tables
24 b/w illustrations
Topics