Abstract
We prove that all proofs in ω-logic (a first order logic with ω-rule added) in which ω-rule is used finitely many times can be turned into proofs in which the ω-rule is used at most one time. Next, we prove that the word “finitely” above cannot be changed by the word “infinitely”.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Leblanc, P. Roeper, M. Thau, G. Weaver, Henkin's Completeness Proof: Forty Years Later, The Notre Dame Journal of Formal Logic, forthcoming.
F. B. Fitch, Intuitionistic Modal Logic With Quantifiers Portugaliae Mathematica 17 (1948), pp. 113–119.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Thau, M. The ω-rule. Stud Logica 51, 241–248 (1992). https://doi.org/10.1007/BF00370115
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00370115