Integer overflow and wraparound are major causes of software vulnerabilities in the C and C++ programming languages. In this paper we present the as-if infinitely ranged (AIR) integer model, which provides a largely automated mechanism for eliminating integer overflow and integer truncation. The AIR integer model either produces a value equivalent to one that would have been obtained using infinitely ranged integers or results in a runtime constraint violation. Unlike previous integer models, AIR integers do not require precise traps, and consequently do not break or inhibit most existing optimizations.

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