A sequential solution to the density classification task using an intermediate alphabet
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913495920934912 |
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| author | Perrotin, Pacôme Balbi, Pedro Paulo Ruivo, Eurico |
| author_facet | Perrotin, Pacôme Balbi, Pedro Paulo Ruivo, Eurico |
| contents | We present a sequential cellular automaton of radius 2 1 as a solution to the density classification task that makes use of an intermediate alphabet, and converges to a clean fixed point with no remaining auxiliary or intermediate information. We extend this solution to arbitrary finite alphabets and to configurations in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06536 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A sequential solution to the density classification task using an intermediate alphabet Perrotin, Pacôme Balbi, Pedro Paulo Ruivo, Eurico Discrete Mathematics We present a sequential cellular automaton of radius 2 1 as a solution to the density classification task that makes use of an intermediate alphabet, and converges to a clean fixed point with no remaining auxiliary or intermediate information. We extend this solution to arbitrary finite alphabets and to configurations in higher dimensions. |
| title | A sequential solution to the density classification task using an intermediate alphabet |
| topic | Discrete Mathematics |
| url | https://arxiv.org/abs/2409.06536 |