3 Analyzing the Plane vs Point Test
نویسنده
چکیده
Having seen a probabilistic verifier for linearity of Boolean functions, we now move on to the goal of general low degree testing. Let us restate what we wish to show: Theorem 1 (Low Degree Testing). There are constants δ, γ, γ′ > 0, such that given the table of a function f : Fm → F and a degree d ≤ δ |F|, there is a probabilistic verifier for the statement “deg f ≤ d”. The verifier is given access to f and to an auxiliary proof and satisfies the following:
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