Extensional Gödel Functional Interpretation [electronic resource] : A Consistency Proof of Classical Analysis / by Horst Luckhardt.
Material type: TextSeries: Lecture Notes in Mathematics ; 306Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1973Description: VI, 166 p. online resourceContent type:- text
- computer
- online resource
- 9783540382836
- 515 23
- QA299.6-433
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.
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