A completely mitotic nonrecursive r.e. degree

Author:

Ladner Richard E.

Abstract

A nonrecursive r.e. degree d is constructed that has the property that every r.e. set of degree d is mitotic. The degree d has several other interesting properties including the property that any two r.e. sets of degree d are weak truth table equivalent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Degrees in which the recursive sets are uniformly recursive;Jockusch, Carl G., Jr.;Canadian J. Math.,1972

2. Mitotic recursively enumerable sets;Ladner, Richard E.;J. Symbolic Logic,1973

3. Deficiency sets and bounded information reducibilities;Sasso, Leonard P., Jr.;Trans. Amer. Math. Soc.,1974

4. Three theorems on the degrees of recursively enumerable sets;Yates, C. E. M.;Duke Math. J.,1965

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