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On completeness and A-completeness of S-sets of determinate functions containing all one-place determinate S-functions

  • M. A. Podkolzina
Published/Copyright: June 30, 2009
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Discrete Mathematics and Applications
From the journal Volume 19 Issue 3

Abstract

We consider the problem on completeness of sets of S-functions, the determinate functions such that the automaton calculating them realises in each state functions which emanate no value. We assume that each set of S-functions whose completeness is checked in this paper contains all S-functions depending on at most one variable. We describe all A-precomplete classes of such sets. It is shown that there exists an algorithm recognising A-completeness of S-sets of one-place determinate functions containing all one-place determinate S-functions.

Received: 2008-09-17
Published Online: 2009-06-30
Published in Print: 2009-July

© de Gruyter 2009

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