Free ordered algebraic structures towards proof theory

Journal of Symbolic Logic 66 (2):597-608 (2001)
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
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DOI 10.2307/2695031
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Extending Intuitionistic Linear Logic with Knotted Structural Rules.R. Hori, H. Ono & H. Schellinx - 1994 - Notre Dame Journal of Formal Logic 35 (2):219-242.
Connectification Forn-Contraction.Andreja Prijatelj - 1995 - Studia Logica 54 (2):149 - 171.

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