Description

Book Synopsis
Structural proof theory studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to structural proof theory and a work of research that will be of interest to specialists. A special feature is a downloadable computer program for developing proofs interactively.

Trade 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

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.

Structural Proof Theory

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    A Paperback by Sara Negri, Jan von Plato, Aarne Ranta

    £47.26

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    Order before 4pm today for delivery by Thu 10 Sep 2026.

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      Book details

      Published 7 October 2008
      ISBN-13 9780521068420
      978-0521068420
      ISBN-10 0521068428

      Description

      Book Synopsis
      Structural proof theory studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to structural proof theory and a work of research that will be of interest to specialists. A special feature is a downloadable computer program for developing proofs interactively.

      Trade 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

      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.

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