Alex Samorodnitsky
Abstract
We define tests of boolean functions which distinguish between linear (or quadratic) polynomials, and functions which are very far, in an appropriate sense, from these polynomials. The tests have optimal or nearly optimal trade-offs between soundness and the number of queries.
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We define tests of boolean functions which distinguish between linear (or quadratic) polynomials, and functions which are very far, in an appropriate sense, from these polynomials. The tests have optimal or nearly optimal trade-offs between soundness and the number of queries.
Key concepts: Soundness, Boolean function, Degree (music), Quadratic equation, Mathematics, Discrete mathematics, Computer science, Programming language