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Dialogue interpretation of the classical predicate calculus
Izvestiya. Mathematics, Tome 61 (1997) no. 1, pp. 225-233
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An intuitionistic dialogue interpretation is constructed for the classical predicate calculus, and a completeness theorem (an intuitionistic analogue of the Godel theorem) is proved for the interpretation. 
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V. A. Yankov. Dialogue interpretation of the classical predicate calculus. Izvestiya. Mathematics, Tome 61 (1997) no. 1, pp. 225-233. http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a9/

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