The intuitionistic propositional logic I has the following disjunction property
This property does not characterize intuitionistic logic. For example Kreisel and Putnam  showed that the extension of I with the axiom
has the disjunction property. Another known system with this propery is due to Scott , and is obtained by adding to I the following axiom:
In the present paper we shall prove, using methods originally introduced by Segerberg , that the Kreisel-Putnam logic is decidable. In fact we shall show that it has the finite model property, and since it is finitely axiomatizable, it is decidable by . The decidability of Scott's system was proved by J. G. Anderson in his thesis in 1966.