Relation between the Usual Order and the Enumeration Orders of Elements of r.e. Sets

نویسندگان

  • Ali Akbar Safilian
  • Farzad Didehvar
چکیده

In this paper, we have compared r.e. sets based on their enumeration orders with Turing machines. Accordingly, we have defined novel concept “uniformity” for Turing machines and r.e. sets and have studied some relationships between “uniformity” and both onereducibility and Turing reducibility. Furthermore, we have defined “type-2 uniformity” concept and studied r.e. sets and Turing machines based on this concept. In the end, we have introduced a new structure called “Turing Output Binary Search Tree” that helps us lighten some ideas.

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تاریخ انتشار 2009