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THE RELEVANT FRAGMENT OF FIRST ORDER LOGIC

Published online by Cambridge University Press:  20 October 2015

GUILLERMO BADIA
GUILLERMO BADIA*
Affiliation:
University of Otago
*
*DEPARTMENT OF PHILOSOPHY UNIVERSITY OF OTAGO NEW ZEALAND
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Abstract

Under a proper translation, the languages of propositional (and quantified relevant logic) with an absurdity constant are characterized as the fragments of first order logic preserved under (world-object) relevant directed bisimulations. Furthermore, the properties of pointed models axiomatizable by sets of propositional relevant formulas have a purely algebraic characterization. Finally, a form of the interpolation property holds for the relevant fragment of first order logic.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 9 , Issue 1 , March 2016 , pp. 143 - 166
Copyright
Copyright © Association for Symbolic Logic 2015 

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