A COMPLETE SYNTACTICAL CHARACTERIZATION OF THE INTUITIONISTIC LOGIC

Tomasz Skura · 2006

That conjecture was disproved by G. Kreisel, H.Putnam [3] who gave the first example of an intermediate logic stronger than INT with the disjunction property. Others (for instance D. Scott [5]) used infinitely many non-structural rules instead of r−d so as to obtain a rejection procedure for INT . In this paper we give structural rules of rejection corresponding to the following generalized disjunction property (GDP ).

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