English

Introducing Autarkies for DQCNF

Logic in Computer Science 2019-07-30 v1

Abstract

Autarkies for SAT can be used for theoretical studies, pre-processing and inprocessing. They generalise satisfying assignments by allowing to leave some clauses "untouched" (no variable assigned). We introduce the natural generalisation to DQCNF (dependency-quantified boolean CNF), with the perspective of SAT translations for special cases. Finding an autarky for DQCNF is as hard as finding a satisfying assignment. Fortunately there are (many) natural autarky-systems, which allow restricting the range of autarkies to a more feasible domain, while still maintaining the good general properties of arbitrary autarkies. We discuss what seems the most fundamental autarky systems, and how the related reductions can be found by SAT solvers.

Keywords

Cite

@article{arxiv.1907.12156,
  title  = {Introducing Autarkies for DQCNF},
  author = {Oliver Kullmann and Ankit Shukla},
  journal= {arXiv preprint arXiv:1907.12156},
  year   = {2019}
}

Comments

5 pages

R2 v1 2026-06-23T10:33:15.666Z