31 lines
1.2 KiB
Markdown
31 lines
1.2 KiB
Markdown
# Design Rationale
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A great problem in machine learning is to use ML agents to automatically prove
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mathematical theorems. This sort of proof necessarily involves *search*.
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Compatibility for search is the main reason for creating Pantograph. The Lean 4
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LSP interface is not conducive to search. Pantograph is designed with this in
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mind. It emphasizes the difference between 3 views of a proof:
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- **Presentation View**: The view of a written, polished proof. e.g. Mathlib and
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math papers are almost always written in this form.
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- **Search View**: The view of a proof exploration trajectory. This is not
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explicitly supported by Lean LSP.
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- **Kernel View**: The proof viewed as a set of metavariables.
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Pantograph enables proof agents to operate on the search view.
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## Name
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The name Pantograph is a pun. It means two things
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- A pantograph is an instrument for copying down writing. As an agent explores
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the vast proof search space, Pantograph records the current state to ensure
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the proof is sound.
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- A pantograph is also an equipment for an electric train. It supplies power to
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a locomotive. In comparison the (relatively) simple Pantograph software powers
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theorem proving projects.
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## References
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* [Pantograph Paper](https://arxiv.org/abs/2410.16429)
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