Proofs and Computations
Language: English
Published by Cambridge University Press, GB, 2011
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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Add to basketItem description from seller
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to ?11-CA0. Ordinal analysis and the (Schwichtenberg-Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and ?11-CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.…
Seller Inventory # LU-9780521517690
- Title
- Proofs and Computations
- Author
- Helmut Schwichtenberg, Stanley S. Wainer
- Publisher
- Cambridge University Press, GB
- Publication year
- 2011
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0521517699
- ISBN 13
- 9780521517690
- Item weight
- 860 grams
- Series
- Book 2 of 17: Perspectives in Logic
"Synopsis" may belong to another edition of this title.
About the Author
Stanley S. Wainer is an Emeritus Professor of Mathematics at the University of Leeds and a past-President of the British Logic Colloquium.
"About the title" may belong to another edition of this title.
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