Formal Mathematics

2 items

RESEARCHDEV.to AI·7d ago

可压缩性（Compressibility）is all you need

This content analyzes the core distinction between "Human Math" and "Formal Math," emphasizing the former's high "compressibility." Using monoids as a toy model and empirical study with Lean's Mathlib, the research demonstrates how human mathematics is highly compressed through hierarchically nested definitions and theorems.

Monoids Lean Mathlib Formal Mathematics Compressibility

RESEARCHarXiv CS.AI·16d ago

ImProver 2: Iteratively Self-Improving LMs for Neurosymbolic Proof Optimization

ImProver 2 is a new neurosymbolic framework for automated proof optimization in Lean 4, designed to address challenges in refactoring formal mathematics proofs. It uses a data-efficient expert-iteration pipeline and a neurosymbolic scaffold, enabling a 7B-parameter model to achieve competitive performance against much larger models.

Neurosymbolic AI machine learning Proof Optimization Formal Mathematics