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This paper introduces a compiler-guided adaptive proof search framework for context-dependent theorem proving in Lean 4, using cross-model synergy to improve proof success rates while reducing computational cost.
Google DeepMind's new paper introduces AlphaProof Nexus, an AI system that combines an LLM with the Lean proof checker to search for formal proofs in constrained mathematical domains. The system solves several unsolved problems from the Erdős and OEIS sets, demonstrating a new division of labor where the AI proposes proof candidates and the verifier enforces correctness.