About the Proof-Theoretic Ordinals of Weak Fixed Point Theories

Jager, Gerhard; Primo, Barbara

J. Symbolic Logic, Tome 57 (1992) no. 1, p. 1108-1119 / Harvested from Project Euclid

Résumé

This paper presents several proof-theoretic results concerning weak fixed point theories over second order number theory with arithmetic comprehension and full or restricted induction on the natural numbers. It is also shown that there are natural second order theories which are proof-theoretically equivalent but have different proof-theoretic ordinals.

Publié le : 1992-09-14
Classification:

@article{1183744060,
     author = {Jager, Gerhard and Primo, Barbara},
     title = {About the Proof-Theoretic Ordinals of Weak Fixed Point Theories},
     journal = {J. Symbolic Logic},
     volume = {57},
     number = {1},
     year = {1992},
     pages = { 1108-1119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744060}
}

Jager, Gerhard; Primo, Barbara. About the Proof-Theoretic Ordinals of Weak Fixed Point Theories. J. Symbolic Logic, Tome 57 (1992) no. 1, pp.  1108-1119. http://gdmltest.u-ga.fr/item/1183744060/