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The Resource Extensional Gödel functional interpretation : a consistency proof of classical analysis, Horst Luckhardt

Extensional Gödel functional interpretation : a consistency proof of classical analysis, Horst Luckhardt

Label
Extensional Gödel functional interpretation : a consistency proof of classical analysis
Title
Extensional Gödel functional interpretation
Title remainder
a consistency proof of classical analysis
Statement of responsibility
Horst Luckhardt
Creator
Subject
Language
eng
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Luckhardt, Horst
Dewey number
510.8
Index
no index present
LC call number
  • QA3
  • QA9
LC item number
.L28 no. 306
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
306
http://library.link/vocab/subjectName
  • Proof theory
  • Intuitionistic mathematics
  • Intuitionistic mathematics
  • Proof theory
  • Analysis
  • Axiomatik
  • Mathematische Logik
Label
Extensional Gödel functional interpretation : a consistency proof of classical analysis, Horst Luckhardt
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 157-161)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
289102877
Dimensions
unknown
Extent
1 online resource (vi, 161 pages).
Form of item
online
Isbn
9783540382836
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289102877
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Extensional Gödel functional interpretation : a consistency proof of classical analysis, Horst Luckhardt
Publication
Bibliography note
Includes bibliographical references (pages 157-161)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
289102877
Dimensions
unknown
Extent
1 online resource (vi, 161 pages).
Form of item
online
Isbn
9783540382836
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289102877
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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