of recursively enumerable degrees. A degree m is a strong minimal cover for a degree a, if a
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Feb 5, 2012 - Maurice A. de Gosson. University of Vienna. Faculty of Mathematics, NuHAG. A-1090 Vienna. Serge M. de Gosson. Swedish Social Insurance ...
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tive Hausdorff dimension dimH(S) and constructive packing dimension dimP(S) is weak truth-table equivalent to a sequence R with dimH(R) ⥠dimH(S)/dimP(S) ...
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Sep 11, 2013 - Logical Methods in Computer Science. Vol. 9(3:13)2013, pp. 1â29 www.lmcs-online.org ... pushdown automata. 1. Introduction. This paper is ...
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Abstract. We introduce a concept of weak recursive degrees and show that each weak recursive degree possess a strong minimal cover (s.m.c.). Since the class ...
In M.Arslanov and S. Lempp, editors, Recursion Theory and Complexity, Kazan, de Gruyter Series in Logic and Its Applications, v.2, Berlin, NewYork, 1999, pp.81-87
Weak recursive degrees and a problem of Spector Sh.T.Ishmukhanetov Abstract We introduce a concept of weak recursive degrees and show that each weak recursive degree possess a strong minimal cover (s.m.c.). Since the class of r.e. array nonrecursive (a.n.r.) degrees defined by Downey, Jockusch and Stob [1990] is complementary to the class of weak recursive degrees in the r.e. degrees R and no a.n.r.degree can possess a s.m.c. we obtain as a corollary that a r.e. degree possess a s.m.c. iff it is weak recursive. This gives a decision of Spector problem of description of degrees possessing strong minimal covers for the case of recursively enumerable degrees.
A degree m is a strong minimal cover for a degree a, if a
