arXiv:2605.26959v1 Announce Type: cross Abstract: MerLean-Prover is an end-to-end Lean4 theorem prover that replaces sorry declarations with kernel-checkable proofs. It is built from three agent types (Planning, Check, and Lean) composed by a recursive outer loop whose unit of revision is the proof plan itself, and uses no fine-tuning, no custom RL objective, and no theorem-specific scaffolding. On FormalQualBench, a benchmark of 23 PhD-qualifying-exam theorems, MerLean-Prover solves 10/23, surpassing the strongest published open-source baseline (OpenGauss, 8/23). On Putnam2025, the same harne
The proliferation of advanced AI models has enabled new architectures for automated theorem proving, pushing the boundaries of what these systems can achieve in formal verification.
This development represents a significant step towards fully automated, verifiable mathematical and software proof generation, which has profound implications for software reliability, AI safety, and scientific research.
The ability of AI agents to create kernel-checkable formal proofs independently reduces the need for human intervention in highly complex formal verification tasks, increasing the speed and scope of provable statements.
- · AI agents developers
- · Formal verification researchers
- · Software engineering (safety-critical systems)
- · Mathematics (automated proof generation)
- · Manual theorem provers
- · Sectors reliant on informal verification methods
Automated theorem provers will integrate into software development toolchains, increasing code robustness.
The formal verification of AI systems themselves will become more feasible, leading to more trustworthy AI.
Mathematical discovery could be accelerated as AI provides verifiable proofs for complex conjectures at an unprecedented rate.
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