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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.05741 |
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| _version_ | 1866908638103207936 |
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| author | Bernstein, Daniel Irving Vaduthala, Nathaniel |
| author_facet | Bernstein, Daniel Irving Vaduthala, Nathaniel |
| contents | We use Hanf locality and a result of Cruickshank, Jackson, and Tanigawa on the global rigidity of graphs of $k$-circuits to prove that local and global $d$-rigidity are not definable in the first order logic of graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05741 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local and global $d$-rigidity are not definable in the first order logic of graphs Bernstein, Daniel Irving Vaduthala, Nathaniel Combinatorics Logic We use Hanf locality and a result of Cruickshank, Jackson, and Tanigawa on the global rigidity of graphs of $k$-circuits to prove that local and global $d$-rigidity are not definable in the first order logic of graphs. |
| title | Local and global $d$-rigidity are not definable in the first order logic of graphs |
| topic | Combinatorics Logic |
| url | https://arxiv.org/abs/2511.05741 |