TY - BOOK AU - Scarpellini,Bruno ED - SpringerLink (Online service) TI - Proof Theory and Intuitionistic Systems T2 - Lecture Notes in Mathematics, SN - 9783540368755 AV - QA1-939 U1 - 510 23 PY - 1971/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - 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* UR - http://dx.doi.org/10.1007/BFb0068783 ER -