lemma-discovery-assistant

To find missing lemmas in a stuck Coq proof, analyze the failed proof state to pinpoint reasoning gaps like weak induction hypotheses or insufficient rewrite rules, then propose auxiliary lemma statements that allow the proof to proceed.

When an inductive proof in Isabelle/HOL fails due to weak induction hypotheses, analyze the stuck proof state to identify the missing intermediate property and generate a generalization lemma with a tailored proof strategy to bridge the gap.

Yes, lemma generation for formal verification provides precise lemma statements, tailored proof strategies, and usage explanations for inductive, generalization, rewrite, and structural proof types to help complete complex proofs.

Proof state analysis identifies missing intermediate steps in theorem proving by examining stuck subgoals to detect reasoning gaps, insufficient rewrite rules, and weak induction hypotheses, then proposing the exact auxiliary lemmas needed to proceed.

Yes, the lemma discovery assistant works with both Coq and Isabelle/HOL by analyzing failed or stuck proofs in either system to propose auxiliary lemmas, addressing obstacles like missing intermediate steps and insufficient rewrite rules.