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• W2964326518 startingPage "107" @default.
• W2964326518 abstract "The notion of online space complexity, introduced by Karp in 1967, quantifies the amount of space required to solve a given problem using an online algorithm, represented by a Turing machine which scans the input exactly once from left to right. In this paper, we study alternating algorithms as introduced by Chandra, Kozen and Stockmeyer in 1976. We devise a lower bound technique relying on boundedly generated lattices of languages, and give two applications of this technique. The first is a hierarchy theorem for languages of polynomial alternating online space complexity, and the second is a linear lower bound on the alternating online space complexity of the prime numbers written in binary. This second result strengthens a result of Hartmanis and Shank from 1968, which implies an exponentially worse lower bound for the same model." @default.
• W2964326518 created "2019-07-30" @default.
• W2964326518 creator A5022821778 @default.
• W2964326518 date "2016-01-01" @default.
• W2964326518 modified "2023-09-24" @default.
• W2964326518 title "Lower Bounds for Alternating Online Space Complexity." @default.
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• W2964326518 hasPublicationYear "2016" @default.
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