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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A completely mitotic nonrecursive r.e. degree


Author: Richard E. Ladner
Journal: Trans. Amer. Math. Soc. 184 (1973), 479-507
MSC: Primary 02F25
MathSciNet review: 0398805
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0398805-7
PII: S 0002-9947(1973)0398805-7
Keywords: Recursively enumerable, degree, mitotic, strongly mitotic, weak truth table reducibility
Article copyright: © Copyright 1973 American Mathematical Society