AI in Theorem Proving: Human Math Abstraction Exceeds Current Tools
prof_g · x · 2026-08-03
After a week of building a theorem prover for Heyting arithmetic, a developer concluded that human-level mathematics operates at a much higher level of structure and abstraction than current formal theorem provers.
- AI as a Bridge: AI is needed to bridge this abstraction gap. However, to keep humans in the loop, AI also requires humans to provide the intelligible structure of mathematics.
- Practicalities: The author relied heavily on GPT Sol Ultra to formalize theorems, manage dependencies, and build a compiler and its verification using Lean, noting the immense work and trickery involved.
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