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Structural Proof Theory

$45.99 (C)

  • Date Published: July 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521068420

$ 45.99 (C)
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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. 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
    Read more

    Reviews & endorsements

    "....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

    • Date Published: July 2008
    • format: Paperback
    • isbn: 9780521068420
    • length: 276 pages
    • dimensions: 229 x 152 x 16 mm
    • weight: 0.41kg
    • availability: Available
  • 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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