Logspace Mitoticity

نویسنده

  • Christian Glaßer
چکیده

We study the relation of autoreducibility and mitoticity for polylog-space many-one reductions and log-space many-one reductions. For polylog-space these notions coincide, while proving the same for log-space is out of reach. More precisely, we show the following results with respect to nontrivial sets and many-one reductions. 1. polylog-space autoreducible ⇔ polylog-space mitotic 2. log-space mitotic ⇒ log-space autoreducible ⇒ (logn · log logn)-space mitotic 3. relative to an oracle, log-space autoreducible ⇒ log-space mitotic

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تاریخ انتشار 2007