Another Example of Higher Order Randomness

نویسندگان

  • Verónica Becher
  • Gregory J. Chaitin
چکیده

We consider the notion of algorithmic randomness relative to an oracle. We prove that the probability that a program for infinite computations (a program that never halts) outputs a cofinite set is random in the second jump of the halting problem. Indeed, we prove that is exactly as random as the halting probability of a universal machine equipped with an oracle for the second jump of the halting problem, in spite of the fact that is defined without considering oracles.

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عنوان ژورنال:
  • Fundam. Inform.

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2002