
Structural Proof Theory
Cambridge University Press
Published on 10. July 2008
Book
Paperback/Softback
276 pages
978-0-521-06842-0 (ISBN)
Description
Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.
Reviews / Votes
"....The book makes significant original contributions while remaining accessible to the logician/philosopher/mathematician who wants to learn elementary proof theory...." Aldo Antonelli, University of California, IrvineMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 17 mm
Weight
452 gr
ISBN-13
978-0-521-06842-0 (9780521068420)
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Schweitzer Classification
Other editions
Additional editions

Sara Negri | Jan von Plato
Structural Proof Theory
Book
06/2001
Cambridge University Press
€129.40
Shipment within 15-20 days
Persons
Content
Introduction; 1. From natural deduction to sequent calculus; 2. Sequent calculus for institutionistic logic; 3. Sequent calculus for classical logic; 4. The quantifiers; 5. Variants of sequent calculi; 6. Structural proof analysis of axiomatic theories; 7. Intermediate logical systems; 8. Back to natural deduction; Conclusion: diversity and unity in structural proof theory; Appendix A. Simple type theory and categorical grammar; Appendix B. Proof theory and constructive type theory; Appendix C. A proof editor for sequent calculus.