Thumbnail - Request a copy

A Solution to a Problem of D. Lau: Complete Classification of Intervals in the Lattice of Partial Boolean Clones

Couceiro, Miguel; Haddad, Lucien; Schölzel, Karsten; Waldhauser, Tamás (2013), A Solution to a Problem of D. Lau: Complete Classification of Intervals in the Lattice of Partial Boolean Clones, in Hanyu, Takahiro; Waho, Takao, 2013 IEEE 43rd International Symposium on Multiple-Valued Logic (ISMVL 2013), IEEE : Piscataway, NJ, p. 123-128. 10.1109/ISMVL.2013.7

Type
Communication / Conférence
Date
2013
Conference title
43rd International Symposium on Multiple-Valued Logic (ISMVL 2013)
Conference date
2013-05
Conference city
Toyama
Conference country
Japan
Book title
2013 IEEE 43rd International Symposium on Multiple-Valued Logic (ISMVL 2013)
Book author
Hanyu, Takahiro; Waho, Takao
Publisher
IEEE
Published in
Piscataway, NJ
ISBN
978-1-4673-6067-8
Number of pages
354
Pages
123-128
Publication identifier
Metadata
Show full item record
Author(s)
Couceiro, Miguel
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Haddad, Lucien
Royal Military College of Canada [RMCC]
Schölzel, Karsten
Mathematics Research Unit
Waldhauser, Tamás
Bolyai Institute [Szeged]
Abstract (EN)
The following natural problem, first considered by D. Lau, has been tackled by several authors recently: Let C be a total clone on 2 := {0, 1}. Describe the interval I(C) of all partial clones on 2 whose total component is C. We establish some results in this direction and combine them with previous ones to show the following dichotomy result: For every total clone C on 2, the set I(C) is either finite or of continuum cardinality.
Subjects / Keywords
Cloning; Lattices; Educational institutions; Computer science; Military computing