Some notes on the superintuitionistic logic of chequered subsets of R^∞

08/20/2018

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by   Tadeusz Litak, et al.

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I investigate the superintuitionistic analogue of the modal logic of chequered subsets of R^∞ introduced by van Benthem et al. It is observed that this logic possesses the disjunction property, contains the Scott axiom, fails to contain the Kreisel-Putnam axiom and it is a sublogic of the Medvedev logic.