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Scarpellini, Bruno.

Proof Theory and Intuitionistic Systems [electronic resource] / by Bruno Scarpellini. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1971. - VIII, 292 p. online resource. - Lecture Notes in Mathematics, 212 0075-8434 ; . - Lecture Notes in Mathematics, 212 .

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*.

ISBN: 9783540368755

Standard No.: 10.1007/BFb0068783 doi

Subjects--Topical Terms:
Mathematics.
Mathematics.
Mathematics, general.

LC Class. No.: QA1-939

Dewey Class. No.: 510