UID:
almahu_9947921320502882
Format:
VI, 166 p.
,
online resource.
ISBN:
9783540382836
Series Statement:
Lecture Notes in Mathematics, 306
Note:
and survey -- A formal system of classical analysis -- Elimination of extensionality -- Translation of classical into intuitionistic approximated theories -- Gödel'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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540061199
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0060871
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
