CAQE: a certifying QBF solver
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 …
decomposition of QBFs into a sequence of propositional formulas, which we call the clausal …
Clause elimination for SAT and QSAT
The famous archetypical NP-complete problem of Boolean satisfiability (SAT) and its
PSPACE-complete generalization of quantified Boolean satisfiability (QSAT) have become …
PSPACE-complete generalization of quantified Boolean satisfiability (QSAT) have become …
Incremental determinization
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 …
alternation (2QBF). The algorithm incrementally adds new constraints to the formula until the …
Proof complexity of resolution-based QBF calculi
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 …
the performance of important QBF solvers. However, the proof complexity of these proof …
Certified knowledge compilation with application to verified model counting
Computing many useful properties of Boolean formulas, such as their weighted or
unweighted model count, is intractable on general representations. It can become tractable …
unweighted model count, is intractable on general representations. It can become tractable …
[PDF][PDF] iDQ: Instantiation-Based DQBF Solving.
iDQ: Instantiation-Based DQBF Solving Page 1 iDQ: Instantiation-Based DQBF Solving
Andreas Fröhlich1, Gergely Kovásznai2, Armin Biere1, Helmut Veith2 1 Johannes Kepler …
Andreas Fröhlich1, Gergely Kovásznai2, Armin Biere1, Helmut Veith2 1 Johannes Kepler …
Lower bounds: From circuits to QBF proof systems
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 …
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.
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 …
different type of proof depending on whether the formula is false (refutation) or true …
Solution validation and extraction for QBF preprocessing
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 …
propositional logic with existential and universal quantifiers, it is beneficial to use …
Efficient extraction of Skolem functions from QRAT proofs
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 …
formula (QBF). For such problems, a mere true/false answer is often not enough. Instead …