NONEXISTENCE OF MINIMAL PAIRS FOR GENERIC COMPUTABILITY

作者:Igusa Gregory*
来源:Journal of Symbolic Logic, 2013, 78(2): 511-522.
DOI:10.2178/jsl.7802090

摘要

A generic computation of a subset A of N consists of a computation that correctly computes most of the bits of A, and never incorrectly computes any bits of A, but which does not necessarily give an answer for every input. The motivation for this concept comes from group theory and complexity theory, but the purely recursion theoretic analysis proves to be interesting, and often counterintuitive. The primary result of this paper is that there are no minimal pairs for generic computability, answering a question of Jockusch and Schupp.

  • 出版日期2013-6