Article
Licensed
Unlicensed
Requires Authentication
Positively closed classes of three-valued logic generated by one-place functions
-
S. S. Marchenkov
Published/Copyright:
October 19, 2009
Abstract
We consider the positive closure operator on the set P3 of functions of three-valued logic. It is shown that in P3 there are exactly 51 positively closed classes positively generated by one-place functions, 26 of these classes are generated by a single one-place function (including one of the positively precomplete in P3 classes), and 25 classes are generated by two functions (including the class P3 and the remaining 9 positively precomplete classes).
Received: 2008-10-09
Published Online: 2009-10-19
Published in Print: 2009-October
© de Gruyter 2009
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On five types of stability of the lexicographic variant of the combinatorial bottleneck problem
- On the limit distributions of the vertex degrees of conditional Internet graphs
- On the estimation of the periods of noisy binary periodic sequences
- On a constructive approach to the calculation of cardinality of the Ryser classes
- Positively closed classes of three-valued logic generated by one-place functions
- On combinatorial Gray codes with distance 3
- Optimal paths in oriented graphs and eigenvectors in max-⊗ systems
- The factorisation of one-generated partially foliated formations
- On finite lattices of topologies of commutative unary algebras
Articles in the same Issue
- On five types of stability of the lexicographic variant of the combinatorial bottleneck problem
- On the limit distributions of the vertex degrees of conditional Internet graphs
- On the estimation of the periods of noisy binary periodic sequences
- On a constructive approach to the calculation of cardinality of the Ryser classes
- Positively closed classes of three-valued logic generated by one-place functions
- On combinatorial Gray codes with distance 3
- Optimal paths in oriented graphs and eigenvectors in max-⊗ systems
- The factorisation of one-generated partially foliated formations
- On finite lattices of topologies of commutative unary algebras
