Extensional Gödel functional interpretation : a consistency proof of classical analysis
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Bibliographic Information
Extensional Gödel functional interpretation : a consistency proof of classical analysis
（Lecture notes in mathematics, 306）
Springer-Verlag, 1973
- : u.s.
- : gw
Available at / 65 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||3062029605
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Hokkaido University, Faculty and Graduate School of Engineering図書
: u.s.dc16:510/l9643520712258
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
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Note
Bibliography: p. 157-161
Description and Table of Contents
Table of Contents
and survey.- A formal system of classical analysis.- Elimination of extensionality.- Translation of classical into intuitionistic approximated theories.- Goedel's functional interpretation in the narrower sense.- The calculus T of the primitive recursive functionals.- Functional interpretation of classical arithmetic plus (ER)-qf, (AC)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), in T.- The calculus T?BR of the bar recursive functionals.- Functional interpretation of classical (AC)o-, (?AC)-analysis with (ER)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), in T?BR.- Further consequences from the functional interpretation of classical analysis.- Consistency proof by computation. Computation of T?BRo...o??.- Generalized inductive definitions.- Generalization of bar induction BID and the inductive generation processes to trees over species.- A model for T?BR.- On the bar recursive model of classical analysis and the general bar induction over species.
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