Craig-godel-lindenbaum's property and sobocinski-tarski's property in propositional calculi

Bulletin of the Section of Logic 10 (3):116-120 (1981)
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Abstract

In the paper we give a sucient condition of the Interpolation Property in propositional calculi; then we establish the power of the class of the systems with Craig's property. Next we show that there does not exist a minimal R0-system with Craig-Godel-Lindenbaum's property. Finally, we generalize Sobocinski-Tarskis theorem concerning Sobocinski-Tarski's property

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