Short proofs in QBF expansion

O Beyersdorff, L Chew, J Clymo, M Mahajan - Theory and Applications of …, 2019 - Springer
… closed QBFs in this paper. A closed QBF is either true or false, since if we semantically expand
all the … A prenex QBF is a QBF where all quantification is done outside of the propositional …

Are Short Proofs Narrow? QBF Resolution Is Not So Simple

O Beyersdorff, L Chew, M Mahajan… - ACM Transactions on …, 2017 - dl.acm.org
… In addition to Q-Res, we consider two further QBF resolution calculi that have … expansion-based
QBF solving. The basic idea used in expansion-based QBF solving is to first expand the …

Lower bound techniques for QBF expansion

O Beyersdorff, J Blinkhorn - Theory of Computing Systems, 2020 - Springer
… over existing methods by providing alternative short proofs of two known hardness results.
We also … the two major QBF expansion systems must have unbounded quantifier alternations. …

Genuine lower bounds for QBF expansion

O Beyersdorff, J Blinkhorn - … International Proceedings in …, 2018 - eprints.whiterose.ac.uk
short, semantically-intuitive proofs, supplanting the complicated ad hoc arguments that hitherto
represented the state-of-the-art in QBF … [19] on the explicit expansion of their unbounded …

QBF proof complexity

LN Chew - 2017 - etheses.whiterose.ac.uk
… CDCL in QBF (QCDCL) and expansion have mutual advantages. Indeed, there are formulas
that have short proofs in expansion based proof systems but not in QCDCL proofs and vice …

[PDF][PDF] Short Proofs in QBF Expansion

J Clymo - 47.52.94.58
… the two systems on a family of QBFs with an unbounded number of quantification … QBFs
with only three quantifier blocks that have short V-Red proofs but require exponential proofs

[HTML][HTML] Expansion-based QBF solving versus Q-resolution

M Janota, J Marques-Silva - Theoretical Computer Science, 2015 - Elsevier
… calculus, which enables refuting QBFs by rules similar to … proofs from conflict-driven
DPLL-based QBF solvers. The system ∀Exp+Res can on the other hand certify certain expansion-…

Lower bounds: From circuits to QBF proof systems

O Beyersdorff, I Bonacina, C Leroy - … of the 2016 ACM Conference on …, 2016 - dl.acm.org
… and expansion-based solving. To model the strength of these QBF solvers, a number of
resolution-based QBF … , we define families of QBFs that require exponential-size proofs in AC0[p]-…

Shortening QBF proofs with dependency schemes

J Blinkhorn, O Beyersdorff - … and Applications of Satisfiability Testing–SAT …, 2017 - Springer
… paper will lift to further QBF calculi, and most notably to expansion-based systems. We
therefore highlight the potential for dependency schemes in expansion solving, and endorse the …

Dynamic QBF dependencies in reduction and expansion

O Beyersdorff, J Blinkhorn - ACM Transactions on Computational Logic …, 2019 - dl.acm.org
… We show that Drrs can identify crucial independencies in these formulas, leading to short
proofs in the system QU(Drrs)-Res. In contrast, we show that Dstd cannot identify …