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Proof theory Second Edition,Gaisi Takeuti by Gaisi Takeuti is a nonfiction available to read on EtoBox.

What is Proof theory Second Edition,Gaisi Takeuti about?

Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics. The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.

Who reads Proof theory Second Edition,Gaisi Takeuti?

Author

Gaisi Takeuti

Publisher

North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada American Elsevier Pub. Co

Published

1975

Language

EN

ISBN

9781322554983

Category

nonfiction

Subjects

Computer Science, Mathematics, Stem