PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 36(50), pp. 3--7 (1984)
KRIPKE MODELS FOR INTUITIONISTIC THEORIES WITH DECIDABLE ATOMIC FORMULAS
Abstract: Some intuitionistic theories, notably Heyting's Arithmetic, have decidable atomic formulas. We show that in Kripke models of such theories, classical structures at the nodes of a Kripke model satisfy a significant fragment of corresponding theories. In particular, all consequences which are in prenex normal form hold classically.
Classification (MSC2000): 03B50, 03C40
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