Dynamic Dependency Awareness for QBF

Abstract

We provide the first proof complexity results for QBF dependency calculi. By showing that the reflexive resolution path dependency scheme admits exponentially shorter Q-resolution proofs on a known family of instances, we answer a question first posed by Slivovsky and Szeider (SAT 2014). Further, we introduce a new calculus in which a dependency scheme is applied dynamically. We demonstrate the further potential of this approach beyond that of the existing static system with an exponential separation.

Cite

Text

Blinkhorn and Beyersdorff. "Dynamic Dependency Awareness for QBF." International Joint Conference on Artificial Intelligence, 2018. doi:10.24963/IJCAI.2018/726

Markdown

[Blinkhorn and Beyersdorff. "Dynamic Dependency Awareness for QBF." International Joint Conference on Artificial Intelligence, 2018.](https://mlanthology.org/ijcai/2018/blinkhorn2018ijcai-dynamic/) doi:10.24963/IJCAI.2018/726

BibTeX

@inproceedings{blinkhorn2018ijcai-dynamic,
  title     = {{Dynamic Dependency Awareness for QBF}},
  author    = {Blinkhorn, Joshua and Beyersdorff, Olaf},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {2018},
  pages     = {5224-5228},
  doi       = {10.24963/IJCAI.2018/726},
  url       = {https://mlanthology.org/ijcai/2018/blinkhorn2018ijcai-dynamic/}
}