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 …

Booleguru, the propositional polyglot (short paper)

M Heisinger, S Heisinger, M Seidl - International Joint Conference on …, 2024‏ - Springer
Recent approaches on verification and reasoning solve SAT and QBF encodings using state-
of-the-art SMT solvers, as it “makes implementation much easier”. The ease-of-use of these …

Towards generalization in QBF solving via machine learning

M Janota - Proceedings of the AAAI Conference on Artificial …, 2018‏ - ojs.aaai.org
There are well known cases of Quantified Boolean Formulas (QBFs) that have short winning
strategies (Skolem/Herbrand functions) but that are hard to solve by nowadays solvers. This …

Structure-aware lower bounds and broadening the horizon of tractability for QBF

JK Fichte, R Ganian, M Hecher… - 2023 38th Annual …, 2023‏ - ieeexplore.ieee.org
The QSAT problem, which asks to evaluate a quantified Boolean formula (QBF), is of
fundamental interest in approximation, counting, decision, and probabilistic complexity and …

Progress in certifying hardware model checking results

E Yu, A Biere, K Heljanko - … Conference, CAV 2021, Virtual Event, July 20 …, 2021‏ - Springer
We present a formal framework to certify k-induction-based model checking results. The key
idea is the notion of ak-witness circuit which simulates the given circuit and has a simple …

Interpolation-based semantic gate extraction and its applications to QBF preprocessing

F Slivovsky - International Conference on Computer Aided …, 2020‏ - Springer
We present a new semantic gate extraction technique for propositional formulas based on
interpolation. While known gate detection methods are incomplete and rely on pattern …

Dependency learning for QBF

T Peitl, F Slivovsky, S Szeider - Journal of Artificial Intelligence Research, 2019‏ - jair.org
Quantified Boolean Formulas (QBFs) can be used to succinctly encode problems from
domains such as formal verification, planning, and synthesis. One of the main approaches to …

Dependency learning for QBF

T Peitl, F Slivovsky, S Szeider - … of Satisfiability Testing–SAT 2017: 20th …, 2017‏ - Springer
Abstract Quantified Boolean Formulas (QBFs) can be used to succinctly encode problems
from domains such as formal verification, planning, and synthesis. One of the main …

Incremental determinization for quantifier elimination and functional synthesis

MN Rabe - … Aided Verification: 31st International Conference, CAV …, 2019‏ - Springer
Quantifier elimination and its cousin functional synthesis are fundamental problems in
automated reasoning that could be used in many applications of formal methods. But …

Small unsatisfiable -CNFs with bounded literal occurrence

T Zhang, T Peitl, S Szeider - arxiv preprint arxiv:2405.16149, 2024‏ - arxiv.org
We obtain the smallest unsatisfiable formulas in subclasses of $ k $-CNF (exactly $ k $
distinct literals per clause) with bounded variable or literal occurrences. Smaller …