Natural factors of the Medvedev lattice capturing IPC

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Natural factors of the Medvedev lattice capturing IPC

Skvortsova showed that there is a factor of the Medvedev lattice which captures intuitionistic propositional logic (IPC). However, her factor is unnatural in the sense that it is constructed in an ad hoc manner. We present a more natural example of such a factor. We also show that the theory of every non-trivial factor of the Medvedev lattice is contained in Jankov’s logic, the deductive closur...

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2014

ISSN: 0933-5846,1432-0665

DOI: 10.1007/s00153-014-0393-8