Finite axiomatization for some intermediate logics

Studia Logica 39 (4):415-423 (1980)
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Abstract

LetN. be the set of all natural numbers, and letD n * = {k N k|n} {0} wherek¦n if and only ifn=k.x f or somexN. Then, an ordered setD n * = D n *, n, wherex ny iffx¦y for anyx, yD n *, can easily be seen to be a pseudo-boolean algebra.In [5], V.A. Jankov has proved that the class of algebras {D n * nB}, whereB =, {k N is finitely axiomatizable

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10.1007/bf00713551

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The decidability of certain intermediate propositional logics.C. G. Mckay - 1968 - Journal of Symbolic Logic 33 (2):258-264.

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