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A note on relativized log space

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Abstract

It is shown that there is a recursive oracleD such that

, thereby answering an open question of Ladner and Lynch [5]. Here\(\mathfrak{L}\) and\(\mathfrak{N}\mathfrak{L}\) denote the class of languages accepted in deterministic, respectively nondeterministic, space logn.

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This work was supported by NSF Grant MCS-8001963.

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Savitch, W.J. A note on relativized log space. Math. Systems Theory 16, 229–235 (1983). https://doi.org/10.1007/BF01744581

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