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"IO" is an acronym for "Indistinguishability obfuscation". Informally, obfuscating a program is the process of concealing what the program is doing while at the same time preserving its functionality. Among other things this serves to protect against code tampering and reverse engineering.

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Obfuscating functions that are mostly zero

Let $f_k(x)$ be a boolean function of two arguments with two properties: The function $f$ can be efficiently computed. The output is always 0 or 1, and for any fixed $k$, if we choose $x$ randomly, …