000 | 02566nam a22004335i 4500 | ||
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001 | 978-3-540-38283-6 | ||
003 | DE-He213 | ||
005 | 20160624101806.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1973 gw | s |||| 0|eng d | ||
020 |
_a9783540382836 _9978-3-540-38283-6 |
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024 | 7 |
_a10.1007/BFb0060871 _2doi |
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050 | 4 | _aQA1-939 | |
072 | 7 |
_aPB _2bicssc |
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072 | 7 |
_aMAT000000 _2bisacsh |
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082 | 0 | 4 |
_a510 _223 |
100 | 1 |
_aLuckhardt, Horst. _eauthor. |
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245 | 1 | 0 |
_aExtensional Gödel Functional Interpretation _h[electronic resource] : _bA Consistency Proof of Classical Analysis / _cby Horst Luckhardt. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1973. |
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264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1973. |
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300 |
_aVI, 166 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v306 |
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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 | _aMathematics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aMathematics, general. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540061199 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v306 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0060871 |
942 |
_2EBK722 _cEBK |
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999 |
_c30016 _d30016 |