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001 978-3-540-38283-6
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007 cr nn 008mamaa
008 121227s1973 gw | s |||| 0|eng d
020 _a9783540382836
_9978-3-540-38283-6
024 7 _a10.1007/BFb0060871
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aLuckhardt, Horst.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aExtensional Gödel Functional Interpretation
_h[electronic resource] :
_bA Consistency Proof of Classical Analysis /
_cby Horst Luckhardt.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1973.
300 _aVI, 166 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v306
505 0 _aand 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.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662184240
776 0 8 _iPrinted edition:
_z9783540061199
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v306
856 4 0 _uhttps://doi.org/10.1007/BFb0060871
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10333
_d10333