On maximal intermediate predicate constructive logics

Studia Logica 57 (2-3):373 - 408 (1996)
We extend to the predicate frame a previous characterization of the maximal intermediate propositional constructive logics. This provides a technique to get maximal intermediate predicate constructive logics starting from suitable sets of classically valid predicate formulae we call maximal nonstandard predicate constructive logics. As an example of this technique, we exhibit two maximal intermediate predicate constructive logics, yet leaving open the problem of stating whether the two logics are distinct. Further properties of these logics will be also investigated.
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DOI 10.1007/BF00370841
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Alonzo Church (1956). Introduction to Mathematical Logic. Princeton, Princeton University Press.

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