Definability and Computability

Definability and Computability

Iurii Leonidovich Ershov / Yuri L. Ershov

267,85 €
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Editorial:
Springer Nature B.V.
Año de edición:
1996
ISBN:
9780306110399

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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 Gödel 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.

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