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How to fake auxiliary input

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Semantics and Syntax: A Legacy of Alan Turing

We show that for any joint distribution $(X,A)$ and any family $F$ of distinguishers, e.g. polynomial size circuits, there exists an efficient (deterministic) simulator $h$ such that $F$ cannot distinguish $(X,A)$ from $(X,h(X))$, i.e. for all $f$ in $F$ we have $igl| E[f(X,A)]-E(f(X,h(X))] igr|

This talk is part of the Isaac Newton Institute Seminar Series series.

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