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SATformer: Transformer-Based UNSAT Core Learning

Code repository for the paper:
SATformer: Transformer-Based UNSAT Core Learning, ICCAD23, Authors: Zhengyuan Shi; Min Li; Yi Liu; Sadaf Khan; Junhua Huang; Hui-Ling Zhen; Mingxuan Yuan; Qiang Xu

Abstract

This paper introduces SATformer, a novel Transformer-based approach for the Boolean Satisfiability (SAT) problem. Rather than solving the problem directly, SATformer approaches the problem from the opposite direction by focusing on unsatisfiability. Specifically, it models clause interactions to identify any unsatisfiable sub-problems. Using a graph neural network, we convert clauses into clause embeddings and employ a hierarchical Transformer-based model to understand clause correlation. SATformer is trained through a multi-task learning approach, using the single-bit satisfiability result and the minimal unsatisfiable core (MUC) for UNSAT problems as clause supervision. As an end-to-end learning-based satisfiability classifier, the performance of SATformer surpasses that of NeuroSAT significantly. Furthermore, we integrate the clause predictions made by SATformer into modern heuristic-based SAT solvers and validate our approach with a logic equivalence checking task. Experimental results show that our SATformer can decrease the runtime of existing solvers by an average of 21.33%.

Installation

Set up Python environment

conda create -n satformer python=3.8.9
conda activate satformer
pip install -r requirements.txt
bash setup.sh

Set up the folder to store dataset and training logs

mkdir data
mkdir exp

Compile the required tools

bash setup.sh

Model Training

Execute the bash script ./run/train.sh to start training SATformer. You can change the configurations in this script. Please refer ./src/config.py for the arguments

bash ./run/train.sh

Model Testing

Execute the bash script ./run/test.sh to validate SATformer.

bash ./run/test.sh

Citation

@inproceedings{shi2023satformer,
  title={SATformer: Transformer-Based UNSAT Core Learning},
  author={Shi, Zhengyuan and Li, Min and Liu, Yi and Khan, Sadaf and Huang, Junhua and Zhen, Hui-Ling and Yuan, Mingxuan and Xu, Qiang},
  booktitle={2023 IEEE/ACM International Conference on Computer Aided Design (ICCAD)},
  pages={1--4},
  year={2023},
  organization={IEEE}
}