A formalization of Borel determinacy in Lean
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917349072830464 |
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| author | Manthe, Sven |
| author_facet | Manthe, Sven |
| contents | We present a formalization of Borel determinacy in the Lean 4 theorem prover. The formalization includes a definition of Gale-Stewart games and a proof of Martin's theorem stating that Borel games are determined. The proof closely follows Martin's "A purely inductive proof of Borel determinacy". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A formalization of Borel determinacy in Lean Manthe, Sven Logic 68V20, 03E60 F.4.1 We present a formalization of Borel determinacy in the Lean 4 theorem prover. The formalization includes a definition of Gale-Stewart games and a proof of Martin's theorem stating that Borel games are determined. The proof closely follows Martin's "A purely inductive proof of Borel determinacy". |
| title | A formalization of Borel determinacy in Lean |
| topic | Logic 68V20, 03E60 F.4.1 |
| url | https://arxiv.org/abs/2502.03432 |