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MR1389784 (98j:03056) 03D25 (03D35)
Lempp, Steffen; Nies, André; Slaman, Theodore A. The $\Pi\sb 3$-theory of the computably enumerable Turing degrees is undecidable. Trans. Amer. Math. Soc. 350 (1998), no. 7, 2719–2736.
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