Learning To Solve Circuit-SAT: An Unsupervised Differentiable Approach

Saeed Amizadeh, Sergiy Matusevych, Markus Weimer

Abstract: Recent efforts to combine Representation Learning with Formal Methods, commonly known as the Neuro-Symbolic Methods, have given rise to a new trend of applying rich neural architectures to solve classical combinatorial optimization problems. In this paper, we propose a neural framework that can learn to solve the Circuit Satisfiability problem. Our framework is built upon two fundamental contributions: a rich embedding architecture that encodes the problem structure and an end-to-end differentiable training procedure that mimics Reinforcement Learning and trains the model directly toward solving the SAT problem. The experimental results show the superior out-of-sample generalization performance of our framework compared to the recently developed NeuroSAT method.

Keywords: Neuro-Symbolic Methods, Circuit Satisfiability, Neural SAT Solver, Graph Neural Networks

TL;DR: We propose a neural framework that can learn to solve the Circuit Satisfiability problem from (unlabeled) circuit instances.