Structural Proof Theory
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Structural Proof Theory

Structural Proof Theory


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About the Book

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.

Table of Contents:
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.

Review :
"...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, Irvine


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Product Details
  • ISBN-13: 9780521793070
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 235 mm
  • No of Pages: 276
  • Returnable: N
  • Spine Width: 21 mm
  • Width: 160 mm
  • ISBN-10: 0521793076
  • Publisher Date: 18 Jun 2001
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Weight: 599 gr


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