From Gabbay-Style Rules
to Labelled Deduction

Patrick Blackburn

Computerlinguistik
Universität des Saarlandes
D-66041 Saarbrücken
Germany
patrick@coli.uni-sb.de
http://www.coli.uni-sb.de/~patrick/

Abstract

Is there a link between Gabbay-style rules, modal languages with nominals, and labelled deduction? It seems there should be: though they differ in many ways, all share the idea that state-names are important in modal deduction. I shall show how to move from a Gabbay-style rule to labelled deduction via the basic hybrid language. I finish with a discussion of the place of state-names in modal logic.

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Dr P. Blackburn