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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 383–393 (Mi smj864)  
This article is cited in 2 scientific papers (total in 2 papers)

On the definition of a Lachlan semilattice

S. Yu. Podzorov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (229 kB) Citations (2)
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Abstract: We study the algorithmic properties of the semilattices introduced in 1972 by Lachlan in his work on recursively enumerable $m$-degrees, the so-called Lachlan semilattices. We show that in Lachlan's definition the effectivity condition on the meet can be omitted in the sequence determining such a semilattice.
Keywords: distributive semilattice, $m$-degree, arithmetic hierarchy, computable enumeration.
Received: 26.04.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 315–323
DOI: https://doi.org/10.1007/s11202-006-0045-2
Bibliographic databases:
UDC: 510.5
Language: Russian
Citation: S. Yu. Podzorov, “On the definition of a Lachlan semilattice”, Sibirsk. Mat. Zh., 47:2 (2006), 383–393; Siberian Math. J., 47:2 (2006), 315–323
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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