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MR516943 (80e:03055) 03D60
Shore, Richard A. On the $\forall \exists $-sentences of $\alpha $-recursion theory. Generalized recursion theory, II (Proc. Second Sympos., Univ. Oslo, Oslo, 1977), pp. 331–353, Stud. Logic Foundations Math., 94, North-Holland, Amsterdam-New York, 1978.
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