Learning a SAT Solver from Single-Bit Supervision

Daniel Selsam, Matthew Lamm, Benedikt B\"{u}nz, Percy Liang, Leonardo de Moura, David L. Dill

Abstract: We present NeuroSAT, a message passing neural network that learns to solve SAT problems after only being trained as a classifier to predict satisfiability. Although it is not competitive with state-of-the-art SAT solvers, NeuroSAT can solve problems that are substantially larger and more difficult than it ever saw during training by simply running for more iterations. Moreover, NeuroSAT generalizes to novel distributions; after training only on random SAT problems, at test time it can solve SAT problems encoding graph coloring, clique detection, dominating set, and vertex cover problems, all on a range of distributions over small random graphs.

Keywords: sat, search, graph neural network, theorem proving, proof

TL;DR: We train a graph network to predict boolean satisfiability and show that it learns to search for solutions, and that the solutions it finds can be decoded from its activations.

Code: [ 6 community implementations](https://paperswithcode.com/paper/?openreview=HJMC_iA5tm)

Community Implementations: [ 5 code implementations](https://www.catalyzex.com/paper/arxiv:1802.03685/code)