Abstract
The paper is concerned with the completeness problem in implicit expressibility in a multi-valued logics Pk. For each k ≥ 2 and any nontrivial order relation on the set {0, 1, …, k − 1} we find two implicitly precomplete classes of functions which are monotone with respect to this order
Note: Originally published in Diskretnaya Matematika (2018) 30, №4, 106–114 (in Russian).
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Completeness criterion for the enumeration closure operator in three-valued logic
- Classification of distance-transitive orbital graphs of overgroups of the Jevons group
- Necessary conditions of applicability of Gaussian elimination to systems of equations over quasigroups
- The generalized complexity of linear Boolean functions
- On some implicitly precomplete classes of monotone functions in Pk
- Trees without twin-leaves with smallest number of maximal independent sets
- Limit theorems for some classes of power series type distributions
Artikel in diesem Heft
- Frontmatter
- Completeness criterion for the enumeration closure operator in three-valued logic
- Classification of distance-transitive orbital graphs of overgroups of the Jevons group
- Necessary conditions of applicability of Gaussian elimination to systems of equations over quasigroups
- The generalized complexity of linear Boolean functions
- On some implicitly precomplete classes of monotone functions in Pk
- Trees without twin-leaves with smallest number of maximal independent sets
- Limit theorems for some classes of power series type distributions