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Definability and Computability formatIsbn:Hardcover - 9780306110399 communication between non-native and nativeIn 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 Gdel 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
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