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Proof Theory

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Proof Theory

Proof Theory

A selection of papers from the Leeds Proof Theory Programme 1990
Peter Aczel, University of Manchester
Harold Simmons, University of Manchester
Stanley S. Wainer, University of Leeds
February 2008
Paperback
9780521054164
    Description

    The lecture courses in this work are derived from the SERC 'Logic for IT' Summer School and Conference on Proof Theory held at Leeds University. The contributions come from acknowledged experts and comprise expository and research articles; put together in this book they form an invaluable introduction to proof theory that is aimed at both mathematicians and computer scientists.

    • Only selected articles are included
    • The opening papers form an excellent introduction to proof theory

    Product details

    February 2008
    Paperback
    9780521054164
    320 pages
    228 × 151 × 18 mm
    0.484kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Related Journals

    The Review of Symbolic Logic
    The Review of Symbolic Logic

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    The Review of Symbolic Logic is designed to cultivate research on theborders of logic, philosophy, and the sciences, and to supportsubstantive interactions between these disciplines. The journalwelcomes submissions in any of the following areas, broadly construed: - The general study of logical systems and their semantics,including non-classical logics and algebraic logic; - Philosophical logic and formal epistemology, including interactions with decision theory and game theory; - The history, philosophy, and methodology of logic and mathematics, including the history of philosophy of logic and mathematics; - Applications of logic to the sciences, such as computer science, cognitive science, and linguistics; and logical results addressing foundational issues in the sciences. The Review welcomes submissions in all these areas. (For informationon how to submit papers, see Guidelines below.) The Review beganpublication in June 2008.

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    Contents

    Table of Contents

    • Preface
    • Programme of lectures
    • 1. Basic proof theory S. Wainer and L. Wallen
    • 2. A short course in ordinal analysis W. Pohlers
    • 3. Proofs as programs H. Schwichtenberg
    • 4. A simplified version of local predicativity W. Buchholz
    • 5. A note on bootstrapping intuitionistic bounded arithmetic S. Buss
    • 6. Termination orderings and complexity characterisations E. Cichon
    • 7. Logics for termination and correctness of functional programs, II. Logics of strength PRA S. Feferman
    • 8. Reflecting the semantics of reflected proof D. Howe
    • 9. Fragments of Kripke-Platek set theory with infinity M. Rathjen
    • 10. Provable computable selection functions on abstract structures J. Tucker and J. Zucker.
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    Additional Information
    About the authors
      Contributors

    • S. Wainer, L. Wallen, W. Pohlers, H. Schwichtenberg, W. Buchholz, S. Buss, E. Cichon, S. Feferman, D. Howe, M. Rathjen, J. Tuckers, J. Zucker

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