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A simple yet successful approach to parallel satisfiability (SAT) solving is to run several different (a portfolio of) SAT solvers on the input problem at the same time until one solver finds a solution. The SAT solvers in the portfolio can…

Logic in Computer Science · Computer Science 2015-08-04 Tomas Balyo , Peter Sanders , Carsten Sinz

While accelerated computing has transformed many domains of computing, its impact on logical reasoning, specifically Boolean satisfiability (SAT), remains limited. State-of-the-art SAT solvers rely heavily on inherently sequential…

Logic in Computer Science · Computer Science 2025-11-12 Steve Dai , Cunxi Yu , Kalyan Krishnamani , Brucek Khailany

Previous efforts on making Satisfiability (SAT) solving fit for high performance computing (HPC) have lead to super-linear speedups on particular formulae, but for most inputs cannot make efficient use of a large number of processors.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Dominik Schreiber , Peter Sanders

Satisfiability-based verification techniques, leveraging modern Boolean satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers, have demonstrated efficacy in addressing practical problem instances within program analysis.…

Logic in Computer Science · Computer Science 2025-09-23 Markus Krahl , Matthias Güdemann , Stefan Wallentowitz

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

Logic in Computer Science · Computer Science 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

We present the latest major release version 6.0 of the quantified Boolean formula (QBF) solver DepQBF, which is based on QCDCL. QCDCL is an extension of the conflict-driven clause learning (CDCL) paradigm implemented in state of the art…

Logic in Computer Science · Computer Science 2017-07-27 Florian Lonsing , Uwe Egly

Although state-of-the-art (SOTA) SAT solvers based on conflict-driven clause learning (CDCL) have achieved remarkable engineering success, their sequential nature limits the parallelism that may be extracted for acceleration on platforms…

Artificial Intelligence · Computer Science 2023-08-30 Yunuo Cen , Zhiwei Zhang , Xuanyao Fong

The use of Boolean Satisfiability (SAT) solver for hardware verification incurs exponential run-time in several instances. In this work we have proposed an efficient quantum SAT (qSAT) solver for equivalence checking of Boolean circuits…

Quantum Physics · Physics 2026-05-19 Abhoy Kole , Mohammed E. Djeridane , Lennart Weingarten , Kamalika Datta , Rolf Drechsler

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

The aim of this PhD project is to develop fast and robust reasoning tools for dependency quantified Boolean formulas (DQBF). In this paper, we outline two properties, autarkies and symmetries, that potentially can be exploited for pre- and…

Logic in Computer Science · Computer Science 2019-10-04 Ankit Shukla

We consider the problem of incrementally solving a sequence of quantified Boolean formulae (QBF). Incremental solving aims at using information learned from one formula in the process of solving the next formulae in the sequence. Based on a…

Logic in Computer Science · Computer Science 2014-09-05 Florian Lonsing , Uwe Egly

Incremental SAT and QBF solving potentially yields improvements when sequences of related formulas are solved. An incremental application is usually tailored towards some specific solver and decomposes a problem into incremental solver…

Logic in Computer Science · Computer Science 2015-12-04 Uwe Egly , Florian Lonsing , Johannes Oetsch

Boolean satisfiability (SAT) is a propositional logic problem of determining whether an assignment of variables satisfies a Boolean formula. Many combinatorial optimization problems can be formulated in Boolean SAT logic -- either as k-SAT…

Optimization and Control · Mathematics 2026-03-12 Robert Simon Fong , Yanming Song , Alexander Yosifov

We present a hardware-accelerated SAT solver suitable for processor/Field Programmable Gate Arrays (FPGA) hybrid platforms, which have become the norm in the embedded domain. Our solution addresses a known bottleneck in SAT solving…

Hardware Architecture · Computer Science 2023-12-19 Hariprasadh Godindasamy , Babak Esfandiari , Paulo Garcia

The quantified Boolean formula problem (QBF) is a well-known PSpace-complete problem with rich expressive power, and is generally viewed as the SAT analogue for PSpace. Given that many problems today are solved in practice by reducing to…

Data Structures and Algorithms · Computer Science 2026-04-20 Leif Eriksson , Victor Lagerkvist , Sebastian Ordyniak , George Osipov , Fahad Panolan , Mateusz Rychlicki

Symmetries have been exploited successfully within the realms of SAT and QBF to improve solver performance in practical applications and to devise more powerful proof systems. As a first step towards extending these advancements to the…

Logic in Computer Science · Computer Science 2025-08-28 Clemens Hofstadler , Manuel Kauers , Martina Seidl

A novel parallel algorithm for solving the classical Decision Boolean Satisfiability problem with clauses in conjunctive normal form is depicted. My approach for solving SAT is without using algebra or other computational search strategies…

Data Structures and Algorithms · Computer Science 2018-04-17 Carlos Barrón-Romero

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Satisfiability (SAT) is a central problem in computer science, and advances in SAT-solving algorithms have a far-reaching impact across many fields. Recent works have proposed quantum SAT solvers based on Grover's algorithm, a quantum…

Quantum Physics · Physics 2026-04-21 Shang-Wei Lin , Ji-Qing Yan , Yean-Ru Chen , Zhe Hou , David Sanán

Graph generation and enumeration problems often require handling equivalent graphs -- those that differ only in vertex labeling. We study how to extend SAT Modulo Symmetries (SMS), a framework for eliminating such redundant graphs, to…

Logic in Computer Science · Computer Science 2025-02-24 Mikoláš Janota , Markus Kirchweger , Tomáš Peitl , Stefan Szeider
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