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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.18626 |
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| _version_ | 1866917070063534080 |
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| author | Staiger, Ludwig |
| author_facet | Staiger, Ludwig |
| contents | Automatic Baire property is a variant of the usual Baire property which is fulfilled for subsets of the Cantor space accepted by finite automata. We consider the family $\mathcal{A}$ of subsets of the Cantor space having the Automatic Baire property. In particular we show that not all finite subsets have the Automatic Baire property, and that already a slight increase of the computational power of the accepting device may lead beyond the class $\mathcal{A}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18626 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on Automatic Baire property Staiger, Ludwig Formal Languages and Automata Theory 68Q45 F.4 Automatic Baire property is a variant of the usual Baire property which is fulfilled for subsets of the Cantor space accepted by finite automata. We consider the family $\mathcal{A}$ of subsets of the Cantor space having the Automatic Baire property. In particular we show that not all finite subsets have the Automatic Baire property, and that already a slight increase of the computational power of the accepting device may lead beyond the class $\mathcal{A}$. |
| title | A note on Automatic Baire property |
| topic | Formal Languages and Automata Theory 68Q45 F.4 |
| url | https://arxiv.org/abs/2505.18626 |