Proof complexity and SAT solving

S Buss, J Nordström - Handbook of Satisfiability, 2021 - ebooks.iospress.nl
This chapter gives an overview of proof complexity and connections to SAT solving, focusing
on proof systems such as resolution, Nullstellensatz, polynomial calculus, and cutting planes …

The silent (r) evolution of SAT

JK Fichte, DL Berre, M Hecher, S Szeider - Communications of the ACM, 2023 - dl.acm.org
The Silent (R)evolution of SAT Page 1 THE PROPOSITIONAL SATISFIABILITY problem (SAT)
was the first to be shown NP-complete by Cook and Levin. SAT remained the embodiment of …

CNFgen: A generator of crafted benchmarks

M Lauria, J Elffers, J Nordström, M Vinyals - Theory and Applications of …, 2017 - Springer
We present CNFgen, a generator of combinatorial benchmarks in DIMACS and OPB format.
The proof complexity literature is a rich source not only of hard instances but also of …

HyQSAT: A hybrid approach for 3-SAT problems by integrating quantum annealer with CDCL

S Tan, M Yu, A Python, Y Shang, T Li… - … Symposium on High …, 2023 - ieeexplore.ieee.org
Propositional satisfiability problem (SAT) is represented in a conjunctive normal form with
multiple clauses, which is an important non-deterministic polynomial-time (NP) complete …

Advancing lazy-grounding ASP solving techniques–restarts, phase saving, heuristics, and more

A Weinzierl, R Taupe, G Friedrich - Theory and Practice of Logic …, 2020 - cambridge.org
Answer-Set Programming (ASP) is a powerful and expressive knowledge representation
paradigm with a significant number of applications in logic-based AI. The traditional ground …

: gazing in the black box of SAT solving

M Soos, R Kulkarni, KS Meel - … Conference on Theory and Applications of …, 2019 - Springer
Boolean satisfiability is a fundamental problem in computer science with a wide range of
applications including planning, configuration management, design and verification of …

Hard examples for common variable decision heuristics

M Vinyals - Proceedings of the AAAI Conference on Artificial …, 2020 - ojs.aaai.org
The CDCL algorithm for SAT is equivalent to the resolution proof system under a few
assumptions, one of them being an optimal non-deterministic procedure for choosing the …

[HTML][HTML] QCDCL with cube learning or pure literal elimination–What is best?

B Böhm, T Peitl, O Beyersdorff - Artificial Intelligence, 2024 - Elsevier
Quantified conflict-driven clause learning (QCDCL) is one of the main approaches for
solving quantified Boolean formulas (QBF). We formalise and investigate several versions of …

Approximate counting of minimal unsatisfiable subsets

J Bendík, KS Meel - International Conference on Computer Aided …, 2020 - Springer
Given an unsatisfiable formula F in CNF, ie a set of clauses, the problem of Minimal
Unsatisfiable Subset (MUS) seeks to identify a minimal subset of clauses N ⊆ F such that N …

Parallel Empirical Evaluations: Resilience despite Concurrency

JK Fichte, T Geibinger, M Hecher… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
Computational evaluations are crucial in modern problem-solving when we surpass
theoretical algorithms or bounds. These experiments frequently take much work, and the …