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The completeness criterion for some systems containing P-sets of automaton functions
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A. A. Rodin
Veröffentlicht/Copyright:
7. Februar 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
© 2014 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- Distance-regular graph with the intersection array {45, 30, 7; 1, 2, 27} does not exist
- The impact of the growth rate of the packing number of graphs on the computational complexity of the independent set problem
- Traveling salesman polytopes and cut polytopes. Affine reducibility
- Minors of the constraint matrix in multi-index transport problems
- Cycle structure of power mappings in a residue classes ring
- A criterion for the automata realizable functions to be boundedly deterministic
- On the complexity of two-dimensional discrete logarithm problem in a finite cyclic group with effective automorphism of order
- The completeness criterion for some systems containing P-sets of automaton functions
- On the synthesis of circuits admitting complete fault detection test sets of constant length under arbitrary constant faults at the outputs of the gates
- Factorially solvable rings
- Identities with permutations and quasigroups isotopic to groups and to Abelian groups
- Classes of projectively equivalent quadrics over local rings
