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MPS-Prover: Advancing Stepwise Theorem Proving by Multi-Perspective Search and Data Curation

Zhenwen Liang, Linfeng Song, Yang Li, Tao Yang, Feng Zhang, Haitao Mi, Dong Yu

2025-05-19

MPS-Prover: Advancing Stepwise Theorem Proving by Multi-Perspective
  Search and Data Curation

Summary

This paper talks about MPS-Prover, a new system that helps computers prove math theorems step by step by looking at problems from different angles and using carefully chosen data.

What's the problem?

The problem is that automated theorem provers, which are programs that try to prove math statements, often get stuck or take too long because they don't always know the smartest way to search for the next step or which information is most helpful.

What's the solution?

The researchers built MPS-Prover, which uses a combination of learned critics (AI that judges which steps are good) and traditional rules to search for proofs from multiple perspectives. They also improved the quality of the data the system uses, helping it make better decisions and find proofs more efficiently.

Why it matters?

This matters because it can make automated math problem-solving much faster and more reliable, which is useful for mathematicians, scientists, and anyone who needs to check complicated logical arguments.

Abstract

MPS-Prover, a novel stepwise ATP system, improves proof efficiency and quality through data curation and a multi-perspective tree search mechanism combining learned critics and heuristic rules.