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The oxidation under high pressures of a single oxidant of binary A-B alloys forming two insoluble oxides involves the internal oxidation of the most reactive component B when its concentration falls below an upper critical concentration defined by means of a criterion due to Wagner. However, this oxidation mode is no longer stable for alloys sufficiently dilute in B. The paper predicts the nature of the oxidation modes stable in this alloy region and calculates the critical contents of B required for the corresponding transitions.