A class of simpler logical matrices for the variable-sharing property
DOI:
https://doi.org/10.12775/LLP.2011.014Keywords
logical matrices, variable-sharing property, relevant logicsAbstract
In our paper “A general characterization of the variable-sharing property by means of logical matrices”, a general class of so-called “Relevant logical matrices”, RMLs, is defined. The aim of this paper is to define a class of simpler Relevant logical matrices RMLs′serving the same purpose that RMLs, to wit: any logic verified by an RML′has the variable-sharing property and related properties predicable of the logic of entailment E and of the logic of relevance R.References
Anderson, A.R., and N.D. Belnap Jr., Entailment. The Logic of Relevance and Necessity, vol. I, Princeton University Press, 1975.
Méndez, J.M., “The compatibility of Relevance and Mingle”, Journal of Philosophical Logic 17 (1988):279–297.
Méndez, J.M., “Erratum to: The Compatibility of Relevance and Mingle”, Journal of Philosophical Logic 39, 3 (2010): 339.
Robles, G., and J.M.Méndez, “A general characterization of the variable-sharing property by means of logical matrices” (to appear).
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Published
2011-11-30
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ROBLES, Gemma and MÉNDEZ, José M. A class of simpler logical matrices for the variable-sharing property. Logic and Logical Philosophy. Online. 30 November 2011. Vol. 20, no. 3, pp. 241-249. [Accessed 4 July 2025]. DOI 10.12775/LLP.2011.014.
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