Proof Theory and Intuitionistic Systems
Scarpellini, Bruno.
Proof Theory and Intuitionistic Systems [electronic resource] / by Bruno Scarpellini. - 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*.
9783540368755
10.1007/BFb0068783 doi
Logic, Symbolic and mathematical.
Mathematics.
Mathematical Logic and Foundations.
Mathematics, general.
QA8.9-10.3
511.3
Proof Theory and Intuitionistic Systems [electronic resource] / by Bruno Scarpellini. - 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*.
9783540368755
10.1007/BFb0068783 doi
Logic, Symbolic and mathematical.
Mathematics.
Mathematical Logic and Foundations.
Mathematics, general.
QA8.9-10.3
511.3