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RESEARCH · RESEARCH · #933

GPT-5.6‑Sol generates provably complete generalized plans with Lean proofs

The arXiv preprint (arXiv:2609.27105v1) presents a pipeline that converts PDDL domain specifications into Lean, then uses GPT-5.6‑Sol to generate generalized plans and formal completeness proofs checked by Lean's kernel. Evaluated on 13 standard benchmark domains, the approach produced generalized plans with valid completeness proofs for 12 domains.

KEY POINTS

  1. The arXiv preprint (arXiv:2609.27105v1) presents a pipeline that converts PDDL domain specifications into Lean, then uses GPT-5.6‑Sol to generate generalized plans and formal completeness proofs checked by Lean's kernel.
  2. Evaluated on 13 standard benchmark domains, the approach produced generalized plans with valid completeness proofs for 12 domains.
  3. Automatically producing Lean-checked completeness proofs for generalized plans materially raises the rigor and trustworthiness of LLM-generated plans and advances automated formal verification in planning.

WHY IT MATTERS

Automatically producing Lean-checked completeness proofs for generalized plans materially raises the rigor and trustworthiness of LLM-generated plans and advances automated formal verification in planning.

SOURCES & TIMELINE

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