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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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On the Number of Some Discrete Functions
by
Dimiter St. Kovachev
South West University

On the Number Of Some Discrete Functions

On the Number Of Some Discrete Functions

Dimiter St. Kovachev

Abstract

A set M of variables of the function f is called separable (c- separable) for f, if there exists a tuple of constants (for every tuple of constants), such that in case of substituting the rest of the variables of f with them, obtained sub-function of f depends essentially on every variable of M.
The present paper is a continuation of the article " On the Number of the Discrete Functions with a Given Range"-Potsdam, 04-06, February, 2000, and there are obtained formulae for the number of the n-variable k-valued functions, for which a given set of variables is separable (c-separable), etc.

AMS 91 Subject Classification: 05A10, 05A18, 68Q15

Dimiter St. Kovachev
Dept. of Computer Sciences
South-West University "Neofit Rilski"
BULGARIA, 2700 Blagoevgrad, P.O. 79
e-mail: dkovach@aix.swu.bg

http://www.cs.swu.bg

Date received: May 23, 2000


Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caee-60.