Genericity and Randomness over Feasible Probability Measures

نویسندگان

  • Amy K. Lorentz
  • Jack H. Lutz
چکیده

This paper investigates the notion of resource bounded genericity developed by Ambos Spies Fleischhack and Huwig Ambos Spies Neis and Terwijn have recently shown that every language that is t n random over the uniform probability measure is t n generic It is shown here that in fact every language that is t n random over any strongly positive t n computable probability measure is t n generic Roughly speaking this implies that when genericity is used to prove a resource bounded measure re sult the result is not speci c to the underlying probability measure This research was supported in part by National Science Foundation Grant CCR with matching funds from Rockwell Microware Systems Corpo ration and Amoco Foundation Color LaserJet and Consumables Division Hewlett Packard Company Boise ID U S A E mail amy lorentz hp boise om om hp com Department of Computer Science Iowa State University Ames IA U S A E mail lutz cs iastate edu

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تاریخ انتشار 1997