A new method named MILP-SAT-GNN combines Graph Neural Networks (GNNs) with Mixed Integer Linear Programming (MILP) techniques to solve SAT problems.
The method involves mapping k-CNF formulae to MILP problems, encoding them as weighted bipartite graphs, and training a GNN for solving SAT problems.
The approach shows stable outputs under clause and variable reordering, but has limitations in distinguishing satisfiable from unsatisfiable instances for foldable formulae.
The experimental evaluation demonstrates promising results, indicating the effectiveness of the method despite its simple neural architecture.