Circuit Minimization with QBF-Based Exact Synthesis

Abstract

This paper presents a rewriting method for Boolean circuits that minimizes small subcircuits with exact synthesis. Individual synthesis tasks are encoded as Quantified Boolean Formulas (QBFs) that capture the full flexibility for implementing multi-output subcircuits. This is in contrast to SAT-based resynthesis, where "don't cares" are computed for an individual gate, and replacements are confined to the circuitry used exclusively by that gate. An implementation of our method achieved substantial size reductions compared to state-of-the-art methods across a wide range of benchmark circuits.

Cite

Text

Reichl et al. "Circuit Minimization with QBF-Based Exact Synthesis." AAAI Conference on Artificial Intelligence, 2023. doi:10.1609/AAAI.V37I4.25524

Markdown

[Reichl et al. "Circuit Minimization with QBF-Based Exact Synthesis." AAAI Conference on Artificial Intelligence, 2023.](https://mlanthology.org/aaai/2023/reichl2023aaai-circuit/) doi:10.1609/AAAI.V37I4.25524

BibTeX

@inproceedings{reichl2023aaai-circuit,
  title     = {{Circuit Minimization with QBF-Based Exact Synthesis}},
  author    = {Reichl, Franz-Xaver and Slivovsky, Friedrich and Szeider, Stefan},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2023},
  pages     = {4087-4094},
  doi       = {10.1609/AAAI.V37I4.25524},
  url       = {https://mlanthology.org/aaai/2023/reichl2023aaai-circuit/}
}