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GOEDEL-PROVER-V2: SCALING FORMAL THEOREM PROVING WITH SCAFFOLDED DATA SYNTHESIS AND SELF-CORRECTION

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Paper Summary

Paperzilla title
Goedel-Prover-V2: A Lean, Mean, Theorem-Proving Machine

This paper introduces Goedel-Prover-V2, a new series of open-source language models designed to automatically prove mathematical theorems. These models achieve state-of-the-art performance on benchmarks like MiniF2F and PutnamBench, outperforming much larger models. This is achieved via a novel training approach incorporating verifier-guided self-correction, scaffolded data synthesis, and model averaging.

Explain Like I'm Five

Researchers built a computer program that's really good at solving complex math problems. It's so good it beats other programs, even much bigger ones, by using clever tricks like checking its own work and learning from easier problems.

Possible Conflicts of Interest

Several authors have affiliations with major tech companies (NVIDIA, Meta, Amazon) and universities (Princeton, Stanford, Tsinghua, Peking), though the work is stated as independent. These affiliations could potentially lead to biases in benchmark selection or access to resources.

Identified Limitations

Benchmark Specificity
The benchmark is focused on solving problems in the Lean formal language, and while impressive, its direct applicability to other domains or mathematical software may be limited.
Data Synthesis Bias
While the scaffolded data synthesis aims to address this, potential biases in the synthetic data could influence the model's learning.
Scalability on Highly Complex Problems
Although the model shows strong performance under a smaller computational budget, further investigation into its limits with increasingly complex problems is needed.

Rating Explanation

The paper presents a significant advancement in automated theorem proving with innovative techniques and impressive benchmark results. The open-source nature of the work further strengthens its contribution. However, potential biases related to affiliations and benchmark specificity slightly lower the rating.

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Original Title: GOEDEL-PROVER-V2: SCALING FORMAL THEOREM PROVING WITH SCAFFOLDED DATA SYNTHESIS AND SELF-CORRECTION
Uploaded: August 08, 2025 at 01:52 PM
Privacy: Public