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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1973 Volume 14, Issue 5, Pages 697–702 (Mi mzm9954)

This article is cited in 1 paper

Truth tabular degrees of recursively enumerable sets

S. Kallibekov

Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR

Abstract: The upper semilattice of truth tabular degrees of recursively enumerable (r.e.) sets is studied. It is shown that there exists an infinite set of pairwise tabularly incomparable truth tabular degrees higher than any tabularly incomplete r.e. truth tabular degree. A similar assertion holds also for r.e. $m$-degrees. Hence follows that a complete truth tabular degree contains an infinite antichain of r.e. $m$-degrees.

UDC: 512

Received: 25.06.1971


 English version:
Mathematical Notes, 1973, 14:5, 958–961

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© Steklov Math. Inst. of RAS, 2026