Extensional Gödel Functional Interpretation

A Consistensy Proof of Classical Analysis

von Horst Luckhardt

172 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783540061199
• Sprache: Englisch
• Erscheinungsdatum: 09.01.1973
• Größe: 235 x 155 mm
• Verlag: Springer