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The finite model property for knotted extensions of propositional linear logic

Published online by Cambridge University Press:  12 March 2014

C. J. van Alten
C. J. van Alten*
Affiliation:
School of Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa, E-mail: cvalten@maths.wits.ac.za
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Abstract

The logics considered here are the propositional Linear Logic and propositional Intuitionistic Linear Logic extended by a knotted structural rule: . It is proved that the class of algebraic models for such a logic has the finite embeddability property, meaning that every finite partial subalgebra of an algebra in the class can be embedded into a finite full algebra in the class. It follows that each such logic has the finite model property with respect to its algebraic semantics and hence that the logic is decidable.

Keywords

Linear Logicfinite embeddability propertyfinite model propertyclassical linear algebraintuitionistic linear algebra
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 1 , March 2005 , pp. 84 - 98
Copyright
Copyright © Association for Symbolic Logic 2005

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