Editors:
- 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?
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Logic (TREN, volume 39)
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Table of contents (12 chapters)
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Front Matter
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.
Editors and Affiliations
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Departamento de Filosofia, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, Brazil
Luiz Carlos Pereira
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Departamento de Informática, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, Brazil
Edward Hermann Haeusler
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School of Computer Science, University of Birmingham, Birmingham, United Kingdom
Valeria de Paiva
Bibliographic Information
Book Title: Advances in Natural Deduction
Book Subtitle: A Celebration of Dag Prawitz's Work
Editors: Luiz Carlos Pereira, Edward Hermann Haeusler, Valeria de Paiva
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-94-007-7548-0
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2014
Hardcover ISBN: 978-94-007-7547-3Published: 17 March 2014
Softcover ISBN: 978-94-024-0687-0Published: 03 September 2016
eBook ISBN: 978-94-007-7548-0Published: 08 July 2014
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: XVI, 279
Number of Illustrations: 24 b/w illustrations
Topics: Logic, Mathematical Logic and Formal Languages, Mathematical Logic and Foundations