Premise Selection for Theorem Proving by Deep Graph Embedding

Code

• github.com/princeton-vl/FormulaNet
  Officialpytorch★ 0

Abstract

We propose a deep learning-based approach to the problem of premise selection: selecting mathematical statements relevant for proving a given conjecture. We represent a higher-order logic formula as a graph that is invariant to variable renaming but still fully preserves syntactic and semantic information. We then embed the graph into a vector via a novel embedding method that preserves the information of edge ordering. Our approach achieves state-of-the-art results on the HolStep dataset, improving the classification accuracy from 83% to 90.3%.

Tasks

Benchmark Results

Reproductions