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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.05014 |
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| _version_ | 1866909418146234368 |
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| author | Maeno, Atsushi Tsujimoto, Satoshi Yura, Fumitaka |
| author_facet | Maeno, Atsushi Tsujimoto, Satoshi Yura, Fumitaka |
| contents | Box--ball systems (BBS) are integrable systems with soliton solutions and other good properties. We will search for automata that belong to the same class as BBS automata by introducing some classes of automata through the features of BBS automaton. In particular, we would like to classify 3-state automata over a 2-letter alphabet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solitons in 3-State Mealy Automata Maeno, Atsushi Tsujimoto, Satoshi Yura, Fumitaka Exactly Solvable and Integrable Systems Box--ball systems (BBS) are integrable systems with soliton solutions and other good properties. We will search for automata that belong to the same class as BBS automata by introducing some classes of automata through the features of BBS automaton. In particular, we would like to classify 3-state automata over a 2-letter alphabet. |
| title | Solitons in 3-State Mealy Automata |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2412.05014 |