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Computable real function F such that F is not polynomial time computable on [0,1]

Published 25 Apr 2014 in cs.CC | (1404.7053v1)

Abstract: A computable real function F on [0,1] is constructed such that there exists an exponential time algorithm for the evaluation of the function on [0,1] on Turing machine but there does not exist any polynomial time algorithm for the evaluation of the function on [0,1] on Turing machine (moreover, it holds for any rational point on (0,1))

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