Clonoids of Boolean functions with a monotone or discriminator source clone
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911935397625856 |
|---|---|
| author | Lehtonen, Erkko |
| author_facet | Lehtonen, Erkko |
| contents | Extending Sparks's theorem, we determine the cardinality of the lattice of $(C_1,C_2)$-clonoids of Boolean functions in the cases where the target clone $C_2$ is the clone of projections. Moreover, we explicitly describe the $(C_1,C_2)$-clonoids of Boolean functions in the cases where the source clone $C_1$ is one of the four clones of monotone functions or contains the discriminator function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clonoids of Boolean functions with a monotone or discriminator source clone Lehtonen, Erkko Combinatorics Rings and Algebras Extending Sparks's theorem, we determine the cardinality of the lattice of $(C_1,C_2)$-clonoids of Boolean functions in the cases where the target clone $C_2$ is the clone of projections. Moreover, we explicitly describe the $(C_1,C_2)$-clonoids of Boolean functions in the cases where the source clone $C_1$ is one of the four clones of monotone functions or contains the discriminator function. |
| title | Clonoids of Boolean functions with a monotone or discriminator source clone |
| topic | Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2405.01164 |