Advances in Natural Deduction
A Celebration of Dag Prawitz's Work
Editors: Pereira, Luiz Carlos, haeusler, edward, de Paiva, Valeria (Eds.)
Free Preview- 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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- About this book
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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)
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Generalized Elimination Inferences, Higher-Level Rules, and the Implications-as-Rules Interpretation of the Sequent Calculus
Pages 1-29
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Revisiting Zucker’s Work on the Correspondence Between Cut-Elimination and Normalisation
Pages 31-50
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Proofs, Reasoning and the Metamorphosis of Logic
Pages 51-61
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Natural Deduction for Equality: The Missing Entity
Pages 63-91
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Paul Hertz’s Systems of Propositions As a Proof-Theoretical Conception of Logic
Pages 93-101
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Table of contents (12 chapters)
- Download Preface 1 PDF (136.8 KB)
- Download Sample pages 2 PDF (1,005.1 KB)
- Download Table of contents PDF (64.2 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Advances in Natural Deduction
- Book Subtitle
- A Celebration of Dag Prawitz's Work
- Editors
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- 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
- 24 b/w illustrations
- Topics
