Some mathematical treatments developed to interpret the corrosion behavior of alloys at high temperatures are considered. Most of them concern the corrosion of single-phase binary alloys by a single oxidant, leading to the internal oxidation of the most-reactive component or to the formation of scales containing both oxides or to the exclusive growth of the most-stable oxide. Some aspects of the corrosion of two-phase alloys by a single oxidant are also briefly reviewed. Finally, two recent quantitative treatments of the corrosion of ternary alloys are considered. When appropriate, the limitations to these treatments are also pointed out.