EasyProver Released: Breakthrough in Automated Theorem Proving with Lean

Summary:EasyProver is an automated theorem proving system built on Lean, featuring recursive agents, asynchronous search, parallel tactic probing, and an elastic elaboration service. It achieves remarkable performance across multiple high-difficulty mathematical and program verification benchmarks, solving 669 out of 672 PutnamBench problems and all six 2026 IMO formalizations, as well as resolving 597 out of 600 NTP4VC verification conditions and all 189 VERINA tasks. Additionally, the team introduced

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Technical Mechanism Analysis

The core architecture of EasyProver is based on the following innovations:

1. Recursive Agents and Isolated Contexts: By employing recursive agents, EasyProver decomposes complex problems into smaller sub-problems and processes them in isolated contexts, avoiding state conflicts that are common in traditional proving systems.

2. Asynchronous Search and Parallel Tactic Probing: The system uses asynchronous search strategies combined with parallel tactic probing techniques, significantly improving the efficiency of the proving process. This design allows EasyProver to explore multiple possible proving paths simultaneously, thus finding solutions faster.

3. Elastic Elaboration Service: EasyProver's elastic elaboration service enables the system to dynamically adjust computational resources based on the complexity of the problem and resource requirements, ensuring high performance when handling large-scale or complex problems.

Engineering Trade-offs and Performance

EasyProver demonstrates excellent performance across multiple benchmarks, including:

• PutnamBench: Solved 669 out of 672 problems, showcasing its strong capability in advanced mathematics.
• IMO 2026: Successfully formalized all six problems, demonstrating its applicability to International Mathematical Olympiad problems.
• NTP4VC and VERINA: Resolved 597 out of 600 verification conditions in NTP4VC and all 189 tasks in VERINA, highlighting its potential in program verification.

However, EasyProver's performance also faces some challenges. For instance, the system's computational resource requirements can increase dramatically when dealing with extremely complex problems. Additionally, while asynchronous search and parallel tactic probing improve efficiency, they also introduce higher memory and computational overhead.

Developer Implementation and Deployment Recommendations

For developers, EasyProver provides a powerful tool for automated mathematical proofing and program verification. Here are some deployment recommendations:

1. Resource Management: Due to the high computational resource demand of EasyProver, it is recommended to use high-performance computing clusters or cloud computing platforms to ensure system stability and efficiency.

2. Problem Decomposition: When dealing with complex problems, it is advisable to decompose the problem into smaller sub-problems to fully utilize EasyProver's recursive agent mechanism.

3. Continuous Optimization: Developers can combine the Aegis framework to convert programming competition problems into verification tasks, thereby continuously optimizing and expanding EasyProver's application scenarios.

Future Outlook

The release of EasyProver marks an important milestone in the field of automated theorem proving. In the future, as technology continues to advance, EasyProver is expected to be applied in more areas, including software verification, hardware design verification, and scientific research.

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Source: Hugging Face Daily Papers (2026-10-28)

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Tags: #EasyProver Follow #Automated Theorem Proving Follow #Lean Follow #Program Verification Follow #AI Reasoning Follow