The Power-Set Construction for Tree Algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913231944024064 |
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| author | Blumensath, Achim |
| author_facet | Blumensath, Achim |
| contents | We study power-set operations on classes of trees and tree algebras. Our main result consists of a distributive law between the tree monad and the upwards-closed power-set monad, in the case where all trees are assumed to be linear. For non-linear ones, we prove that such a distributive law does not exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_00563 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Power-Set Construction for Tree Algebras Blumensath, Achim Formal Languages and Automata Theory We study power-set operations on classes of trees and tree algebras. Our main result consists of a distributive law between the tree monad and the upwards-closed power-set monad, in the case where all trees are assumed to be linear. For non-linear ones, we prove that such a distributive law does not exist. |
| title | The Power-Set Construction for Tree Algebras |
| topic | Formal Languages and Automata Theory |
| url | https://arxiv.org/abs/2207.00563 |