Proof Theory and Intuitionistic Systems [electronic resource] /

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*.

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Bibliographic Details
Main Authors: Scarpellini, Bruno. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1971
Subjects:Mathematics., Mathematical logic., Mathematical Logic and Foundations., Mathematics, general.,
Online Access:http://dx.doi.org/10.1007/BFb0068783
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