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miniCTX: Neural Theorem Proving with (Long-)Contexts

State-tactic model from miniCTX: Neural Theorem Proving with (Long-)Contexts.

It is specifically finetuned for Lean 4 tactic prediction given proof states.

Performance

Please see our paper.

Example input

/- You are proving a theorem in Lean 4.
You are given the following information:
- The current proof state, inside [STATE]...[/STATE]

Your task is to generate the next tactic in the proof.
Put the next tactic inside [TAC]...[/TAC]
-/
[STATE]
m n : â„•
h : Nat.Coprime m n
⊢ Nat.gcd m n = 1
[/STATE]
[TAC]

Example output

rw [Nat.Coprime] at h
[/TAC]

Citation

Please cite:

@misc{hu2024minictx,
  author = {Jiewen Hu and Thomas Zhu and Sean Welleck},
  title = {miniCTX: Neural Theorem Proving with (Long-)Contexts},
  year = {2024},
  eprint={},
  archivePrefix={arXiv},
}
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