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Toward deciding the AE-theory of the Sigma02-enumeration degrees

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SASW09 - International conference on computability, complexity and randomness

In joint work with Goh, Kalimullin and Yamaleev, we present a result toward deciding the AE-theory of the Sigma02-enumeration degrees: Ahmad (1989) showed the existence of Ahmad pair in this structure, namely, of incomparable degrees a and b such that any degree x

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