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Structural Proof Theory

$38.00 USD

  • Date Published: March 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511826139

$ 38.00 USD
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About the Authors
  • 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.

    • General introduction for students in philosophy, mathematics, and computer science
    • Downloadable computer program (regularly updated by authors) for developing proofs interactively
    • Von Plato a successful and well-known author
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    Product details

    • Date Published: March 2011
    • format: Adobe eBook Reader
    • isbn: 9780511826139
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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.

  • Authors

    Sara Negri, University of Helsinki

    Jan von Plato, University of Helsinki

    Appendix by

    Aarne Ranta

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