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• W2097113463 abstract "It is shown that a simple function in AC/sup 0/, OR of square root n disjoint ANDs, cannot be computed by decision trees of depth log/sup O(1)/n where each node asks whether or not p(x/sub 1/, . . .,x/sub n/)=0 for some polynomial p of degree log/sup O(1)/n. This is in contrast to recent results that every function in AC/sup 0/ can be computed probabilistically by just one such query and can be deterministically computed by such decision trees if each node asks whether or not p(x/sub 1/, . . .,x/sub n/)>0. The proofs are based on simple algebraic arguments that also provide alternative proofs for some known results. >" @default.
• W2097113463 created "2016-06-24" @default.
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• W2097113463 date "2002-12-10" @default.
• W2097113463 modified "2023-09-26" @default.
• W2097113463 title "Degree complexity of Boolean functions and its applications to relativized separations" @default.
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• W2097113463 doi "https://doi.org/10.1109/sct.1991.160282" @default.
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