A note on genericity and bi-immunity

  • Authors:
  • J. L. Balcazar;E. Mayordomo

  • Affiliations:
  • -;-

  • Venue:
  • SCT '95 Proceedings of the 10th Annual Structure in Complexity Theory Conference (SCT'95)
  • Year:
  • 1995

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Abstract

Generic sets have all properties (from among a suitably chosen class) that can be enforced by finite extension arguments. In particular, p-generic sets known to be P-bi-immune. We try to clarify the precise relationship between genericity and bi-immunity by proposing an extended notion of bi-immunity that exactly characterizes the p-generic sets.