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  The Modal Logic of the Countable Random

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by Valentin Goranko, Bruce Kapron
http://general.rau.ac.za/maths/goranko/papers/Goranko-Kapron.ps
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Abstract:

of the countable random frame, which is contained in and `approximates ' the modal logic of almost sure frame validity, i.e. the logic of those modal principles which are valid with asymptotic probability 1 in a randomly chosen nite frame. We give a sound and complete axiomatization of ML

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