The ω-rule

Studia Logica 51 (2):241 - 248 (1992)
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Abstract

We prove that all proofs in -logic (a first order logic with -rule added) in which -rule is used finitely many times can be turned into proofs in which the -rule is used at most one time. Next, we prove that the word finitely above cannot be changed by the word infinitely.

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Michael Thau
University of Illinois at Springfield

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Henkin's completeness proof: forty years later.Hugues Leblanc, Peter Roeper, Michael Thau & George Weaver - 1991 - Notre Dame Journal of Formal Logic 32 (2):212-232.

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