Nearly Optimal Language Compression Using Extractors

نویسندگان

  • Lance Fortnow
  • Sophie Laplante
چکیده

We show two sets of results applying the theory of extractors to resource-bounded Kolmogorov complexity: Most strings in easy sets have nearly optimal polynomial-time CD complexity. This extends work of Sipser Sip83] and Buhrman and Fortnow BF97]. We use extractors to extract the randomness of strings. In particular we show how to get from an arbitrary string, an incompressible string which encodes almost as much polynomial-time CND complexity as the original string.

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تاریخ انتشار 1998