Download PDF Proofs and Computations (Perspectives in Logic)

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 Π11-CA0. Ordinal analysis a...

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Perspectives in Logic
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Download link for Proofs and Computations (Perspectives in Logic) by Helmut Schwichtenberg, Stanley S. Wainer :