Title
Dynamic QBF Dependencies in Reduction and Expansion
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 in 2014 [37]. Further, we conceive a method of QBF solving in which dependency recomputation is utilised as a form of inprocessing. Formalising this notion, we introduce a new version of Q-resolution 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. Last, we show that the same picture emerges in an analogous approach to the universal expansion paradigm.
Year
DOI
Venue
2020
10.1145/3355995
ACM Transactions on Computational Logic (TOCL)
Keywords
Field
DocType
Quantified Boolean formulas,dependency schemes,proof complexity
Discrete mathematics,Algebra,Mathematics
Journal
Volume
Issue
ISSN
21
2
1529-3785
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Olaf Beyersdorff122330.33
Joshua Blinkhorn236.16