CAQE: a certifying QBF solver

MN Rabe, L Tentrup - 2015 Formal Methods in Computer-Aided …, 2015 - ieeexplore.ieee.org
We present a new CEGAR-based algorithm for QBF. The algorithm builds on a
decomposition of QBFs into a sequence of propositional formulas, which we call the clausal …

Clause elimination for SAT and QSAT

M Heule, M Järvisalo, F Lonsing, M Seidl… - Journal of Artificial …, 2015 - jair.org
The famous archetypical NP-complete problem of Boolean satisfiability (SAT) and its
PSPACE-complete generalization of quantified Boolean satisfiability (QSAT) have become …

Incremental determinization

MN Rabe, SA Seshia - Theory and Applications of Satisfiability Testing …, 2016 - Springer
We present a novel approach to solve quantified boolean formulas with one quantifier
alternation (2QBF). The algorithm incrementally adds new constraints to the formula until the …

Proof complexity of resolution-based QBF calculi

O Beyersdorff, L Chew, M Janota - … International Symposium on …, 2015 - drops.dagstuhl.de
Proof systems for quantified Boolean formulas (QBFs) provide a theoretical underpinning for
the performance of important QBF solvers. However, the proof complexity of these proof …

Certified knowledge compilation with application to verified model counting

RE Bryant, W Nawrocki, J Avigad… - … Conference on Theory …, 2023 - drops.dagstuhl.de
Computing many useful properties of Boolean formulas, such as their weighted or
unweighted model count, is intractable on general representations. It can become tractable …

[PDF][PDF] iDQ: Instantiation-Based DQBF Solving.

A Fröhlich, G Kovásznai, A Biere, H Veith - POS@ SAT, 2014 - pdfs.semanticscholar.org
iDQ: Instantiation-Based DQBF Solving Page 1 iDQ: Instantiation-Based DQBF Solving
Andreas Fröhlich1, Gergely Kovásznai2, Armin Biere1, Helmut Veith2 1 Johannes Kepler …

Lower bounds: From circuits to QBF proof systems

O Beyersdorff, I Bonacina, C Leroy - … of the 2016 ACM Conference on …, 2016 - dl.acm.org
A general and long-standing belief in the proof complexity community asserts that there is a
close connection between progress in lower bounds for Boolean circuits and progress in …

[PDF][PDF] Dual Proof Generation for Quantified Boolean Formulas with a BDD-based Solver.

RE Bryant, MJH Heule - CADE, 2021 - library.oapen.org
Existing proof-generating quantified Boolean formula (QBF) solvers must construct a
different type of proof depending on whether the formula is false (refutation) or true …

Solution validation and extraction for QBF preprocessing

MJH Heule, M Seidl, A Biere - Journal of Automated Reasoning, 2017 - Springer
In the context of reasoning on quantified Boolean formulas (QBFs), the extension of
propositional logic with existential and universal quantifiers, it is beneficial to use …

Efficient extraction of Skolem functions from QRAT proofs

MJH Heule, M Seidl, A Biere - 2014 Formal Methods in …, 2014 - ieeexplore.ieee.org
Many synthesis problems can be solved by formulating them as a quantified Boolean
formula (QBF). For such problems, a mere true/false answer is often not enough. Instead …