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Free Ordered Algebraic Structures towards Proof Theory
The Journal of Symbolic Logic
Vol. 66, No. 2 (Jun., 2001), pp. 597-608
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/2695031
Page Count: 12
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In this paper, constructions of free ordered algebras on one generator are given that correspond to some one-variable fragments of affine propositional classical logic and their extensions with n-contraction (n ≥ 2). Moreover, embeddings of the already known infinite free structures into the algebras introduced below are furnished with; thus, solving along the respective cardinality problems.
The Journal of Symbolic Logic © 2001 Association for Symbolic Logic