Isbn: 9780521517690 - proofs and computations (perspectives in logic) (4 Ergebnisse)

Zustand: New. In English.

Hardcover. Zustand: Brand New. 1st edition. 480 pages. 9.50x6.25x1.25 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…

Zustand: New. This major graduate-level text provides a detailed, self-contained coverage of proof theory. Series: Perspectives in Logic. Num Pages: 480 pages, 8 b/w illus. BIC Classification: PBCD. Category: (P) Professional & Vocational. Dimension: 158 x 233 x 29. Weight in Grams: 884. . 2011. Illustrated. hardcover. . . . . Books ship from the US and Ireland. …