Proof Theory and Intuitionistic Systems by Bruno Scarpellini | (PDF) Free Download

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    Ebook Info

    • Published: 2014
    • Number of pages: 304 pages
    • Format: PDF
    • File Size: 9.41 MB
    • Authors: Bruno Scarpellini

    Description

    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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