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On the crossing rule

✍ Scribed by S. Friedland; J. W. Robbin; J. H. Sylvester


Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
619 KB
Volume
37
Category
Article
ISSN
0010-3640

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## Abstract Let Ξ“~__n__~(Ο†) be a formula of L~PA~ (PA = Peano Arithmetic) meaning β€œthere is a proof of Ο† from PA‐axioms, in which ω‐rule is iterated no more than __n__ times”. We examine relations over pairs of natural numbers of the kind. (__n__, __k__) ≦~__H__~ (__n', k__') iff PA + RFN~__n__'~