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A star-free semantics for R

Published online by Cambridge University Press:  12 March 2014

Edwin D. Mares
Edwin D. Mares*
Affiliation:
Philosophy Department, Victoria University of Wellington, Wellington, New Zealand, E-mail: [email protected]
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Abstract

The purpose of this paper is to show that semantics for relevance logic, based on the Routley-Meyer semantics, can be given without using the Routley star operator to treat negation. In the resulting semantics, negation is treated implicationally. It is shown that, by the use of restrictions on the ternary accessibility relation, simplified by the use of some definitions, a semantics can be stipulated over which R is complete.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 2 , June 1995 , pp. 579 - 590
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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