書誌事項

Definability and computability

Yuri L. Ershov

(Siberian school of algebra and logic)

Consultants Bureau, c1996

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注記

Includes bibliographical references (p. 257-260) and index

内容説明・目次

内容説明

In this book, Yurii L. Ershov posits the view that computability-in the broadest sense-can be regarded as the Sigma-definability in the suitable sets. He presents a new approach to providing the Goedel incompleteness theorem based on systematic use of the formulas with the restricted quantifiers. The volume also includes a novel exposition on the foundations of the theory of admissible sets with urelements, using the Gandy theorem throughout the theory's development. Other topics discussed are forcing, Sigma-definability, dynamic logic, and Sigma-predicates of finite types.

目次

Sigmadefinability and the Goedel Incompleteness Theorem. Computability on Admissible Sets. Selected Topics. Appendix. Index.

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