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A characterization of locally testable affine-invariant properties via decomposition theorems

A characterization of locally testable affine-invariant properties via decomposition theorems

Let P be a property of function Fnp → {0, 1} for a fixed prime p. An algorithm is called a tester for P if, given a query access to the input function f, with high probability, it accepts when f satisfies P and rejects when f is "far" from …