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and preliminaries.- A review of Gentzen's second consistency proof.- The intuitionistic system of number theory.- A formally intuitionistic system as strong as classical analysis.- Transfinite induction with respect to recursive wellorderings without function parameters.- A formally intuitonistic theory equivalent to classical transfinite induction with respect to recursive wellfounded trees with function parameters.- A system containing barinduction with respect to decidable predicates.- Harrop formulas.- The Markov principle.- Relative consistency proof of ZTN with respect to ZTi/IN*.
Autorius: | Bruno Scarpellini |
Serija: | Lecture Notes in Mathematics |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1971 |
Knygos puslapių skaičius: | 300 |
ISBN-10: | 354005541X |
ISBN-13: | 9783540055419 |
Formatas: | 235 x 155 x 17 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Proof Theory and Intuitionistic Systems“