Proof Theory and Intuitionistic Systems [electronic resource] / by Bruno Scarpellini.
Material type: TextSeries: Lecture Notes in Mathematics ; 212Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1971Description: VIII, 292 p. online resourceContent type:- text
- computer
- online resource
- 9783540368755
- 511.3 23
- QA8.9-10.3
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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