Geodesic
Amalgams of Clones
Algebra i logika, Tome 44 (2005) no. 1, pp. 97-113.

Voir la notice de l'article provenant de la source Math-Net.Ru

The structure of a clone of functions respecting an amalgam is described. Also, for clones $R_A$ and $R_B$ of relations, conditions are specified under which the amalgam of $R_A$ and $R_B$, restricted to the domains of $R_A$ and $R_B$, coincides with these.
Keywords: clone of functions
Mots-clés : amalgam. 
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E. S. Skvortsov. Amalgams of Clones. Algebra i logika, Tome 44 (2005) no. 1, pp. 97-113. http://geodesic.mathdoc.fr/item/AL_2005_44_1_a6/

[1] U. Montanari, “Networks of constraints: fundamental properties and applications to picture processing”, Inform. Sciences, 7 (1974), 95–132 | DOI | MR | Zbl

[2] T. J. Schaefer, “The complexity of satisfiability problems”, Proc. 10th ACM Symp. Theory Comput. (STOC'78), 1978, 16–226 | MR

[3] A. A. Bulatov, A. A. Krokhin, P. G. Jeavons, “Constraint satisfaction problems and finite algebras”, Automata, Languages and Programming, 27th Intern. Colloq., ICALP 2000, Lect. Notes Comput. Sci., 1853, eds. U. Montanari et al., 2000, 272–282 | MR | Zbl

[4] P. G. Jeavons, “On the algebraic structure of combinatorial problems”, Theor. Comput. Sci., 200:1–2 (1998), 185–204 | DOI | MR | Zbl

[5] R. Pöschel, L. A. Kaluznin, Funktionen- und Relationenalgebren, DVW, Berlin, 1979 | MR

[6] D. Cohen, P. Jeavons, R. Gault, “New tractable classes from old”, CP 2000. 6th intern. conf. (Singapore, Sept. 18-21, 2000), Lect. Notes Comput. Sci., 1894, Springer, Berlin, 2000, 160–171 | Zbl

[7] D. A. Cohen, P. G. Jeavons, M. Koubarakis, Tractable disjunctive constraints, Lect. Notes Comput. Sci., 1330), 1997

[8] D. Cohen, P. Jeavons, M. Koubarakis, “Building tractable disjunctive constraints”, J. ACM, 2000, no. 4, 826–853 | DOI | MR

[9] A. Bulatov, E. Skvortsov, Amalgamy kombinatornykh zadach, Rossiiskaya konf. “Diskretnyi analiz i issledovanie operatsii”, Novosibirsk, 2002