Abstract. We study Kalimullin pairs, a definable class (of pairs) of enumeration degrees that has been used to give first-order.

May 17, 2016 · We study Kalimullin pairs, a definable class (of pairs) of enumeration degrees that has been used to give first-order definitions of other ...

It is proved that the typical enumeration degree is not half of a nontrivial Kalimullin pair, both in the sense of category and measure. We study Kalimullin ...

ON CUPPING AND AHMAD PAIRS. ISKANDER SH. KALIMULLIN, STEFFEN LEMPP, KENG MENG NG,. AND MARS M. YAMALEEV. Abstract. Working toward showing the decidability of ...

Mingzhong Cai, Steffen Lempp, Joseph S. Miller , Mariya Ivanova Soskova : On Kalimullin pairs. Comput. 5(2): 111-126 (2016). manage site settings.

Feb 12, 2019 · We define an \alpha-Kalimullin pair and show that it is definable in the \alpha-enumeration degrees \mathcal{D}_{\alpha e} if the projectum of \ ...

We prove that the class of total enumeration degrees and the class of low enumeration degrees are first order definable in the local substructure of the ...

We shall prove that the induced degree structure is an extension of the structure of the Turing degrees and that the two structures are closely connected, but ...

The Kalimullin pairs (K-pairs) are introduced by I.S. Kalimullin in [4] under the name U-e-ideals and used as a main gradient in the first order ...

Nov 24, 2014 · In this section we will define the notion of a /C-pair. give examples of this no tion, discuss basic properties and give an alternative first ...