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The completeness criterion for some systems containing P-sets of automaton functions

  • A. A. Rodin
Published/Copyright: February 7, 2014

Abstract

A class of subsets (P-sets) in the functional system of automaton functions is considered. These P-sets are defined using the Post classes. The paper is devoted to the construction of efficient completeness criteria for infinite automaton function systems M such that N ⊆ M,M \ N is finite and N is a P-set. The criterion should determine whether the system is complete via a finite set M \ N. A number of decidable cases are presented.

Published Online: 2014-02-07
Published in Print: 2013-06

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