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Free ordered algebraic structures towards proof theory

Published online by Cambridge University Press:  12 March 2014

Andreja Prijatelj
Andreja Prijatelj*
Affiliation:
Department of Mathematics, University of Ljubljana, Slovenia, E-mail: Andreja.Prijatelj@fmf.uni-lj.si
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Abstract

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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 597 - 608
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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