Titlebook: Computability and Models; Perspectives East an S. Barry Cooper,Sergey S. Goncharov Book 2003 Kluwer Academic / Plenum Publishers, New York

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Finite End Intervals in Definable Quotients of ,,It will be shown that in a factor lattice of the lattice of c.e. sets under inclusion with respect to a special congruence relation, there exists a finite end interval which is not a Boolean algebra.

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Definable Relations on the Computably Enumerable Degrees,We review recent developments in the study of definable relations on the computably enumerable (c.e.) degrees, including the following aspects:

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AMITY

Measuring Crustal Stress: Core-Based Methodsto arithmetical numberings. We prove that principal numberings are complete; completeness is independent of the oracle; the degree of any incomplete numbering is meet-reducible, uniformly complete numberings exist. We completely characterize which finite arithmetical families have a universal number

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Stress Fractures of the Pelvis and Sacrumbraic properties; the elementary theory of any Rogers semilattice at arithmetical level . ≥ 2 is hereditarily undecidable; the class of all Rogers semilattices of a fixed level . ≥ 2 has an incomplete theory.

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