On the extension of intuitionistic propositional logic with kreisel-putnam's and Scott's schemes

Studia Logica 45 (1):55 - 68 (1986)
Abstract
LetSKP be the intermediate prepositional logic obtained by adding toI (intuitionistic p.l.) the axiom schemes:S = (( ) ) (Scott), andKP = ()()() (Kreisel-Putnam). Using Kripke's semantics, we prove:1) SKP has the finite model property; 2) SKP has the disjunction property. In the last section of the paper we give some results about Scott's logic S = I+S.
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    J. G. Anderson (1972). Superconstructive Propositional Calculi with Extra Axiom Schemes Containing One Variable. Zeitschrift für Mathematische Logik Und Grundlagen der Mathematik 18 (8-11):113-130.
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