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This report describes an extension of the distributed job scheduling and SAT solving platform Mallob by incremental SAT solving, embedded in a case study on SAT-based hierarchical planning. We introduce a low-latency interface for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Dominik Schreiber

Satisfiability problem (SAT) is a cornerstone of computational complexity with broad industrial applications, and it remains challenging to optimize modern SAT solvers in real-world settings due to their intricate architectures. While…

Artificial Intelligence · Computer Science 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

Satisfiability Modulo Theories (SMT) and SAT solvers are critical components in many formal software tools, primarily due to the fact that they are able to easily solve logical problem instances with millions of variables and clauses. This…

Logic in Computer Science · Computer Science 2021-09-06 Gereon Kremer , Erika Abraham , Vijay Ganesh

All solutions SAT (AllSAT for short) is a variant of propositional satisfiability problem. Despite its significance, AllSAT has been relatively unexplored compared to other variants. We thus survey and discuss major techniques of AllSAT…

Data Structures and Algorithms · Computer Science 2016-11-10 Takahisa Toda , Takehide Soh

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

It has been widely observed that there is no single "dominant" SAT solver; instead, different solvers perform best on different instances. Rather than following the traditional approach of choosing the best solver for a given class of…

Artificial Intelligence · Computer Science 2011-11-10 Lin Xu , Frank Hutter , Holger H. Hoos , Kevin Leyton-Brown

Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite…

Logic in Computer Science · Computer Science 2026-04-01 Curie Kim , Carsten Portner , Mingju Liu , Steve Dai , Haoxing Ren , Brucek Khailany , Alvaro Velasquez , Ismail Alkhouri , Cunxi Yu

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 a parallel solver for numerical constraint satisfaction problems (NCSPs) that can scale on a number of cores. Our proposed method runs worker solvers on the available cores and simultaneously the workers cooperate for the search…

Artificial Intelligence · Computer Science 2014-11-07 Daisuke Ishii , Kazuki Yoshizoe , Toyotaro Suzumura

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

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

Artificial Intelligence · Computer Science 2021-01-05 Matthias Nickles

The importance of algorithm portfolio techniques for SAT has long been noted, and a number of very successful systems have been devised, including the most successful one --- SATzilla. However, all these systems are quite complex (to…

Artificial Intelligence · Computer Science 2011-12-14 Mladen Nikolic , Filip Maric , Predrag Janicic

It is well known that different solution strategies work well for different types of instances of hard combinatorial problems. As a consequence, most solvers for the propositional satisfiability problem (SAT) expose parameters that allow…

Artificial Intelligence · Computer Science 2016-08-03 Frank Hutter , Marius Lindauer , Adrian Balint , Sam Bayless , Holger Hoos , Kevin Leyton-Brown

This paper presents a detailed analysis of the scalability and parallelization of local search algorithms for the Satisfiability problem. We propose a framework to estimate the parallel performance of a given algorithm by analyzing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-15 Alejandro Arbelaez , Charlotte Truchet , Philippe Codognet

The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been…

Artificial Intelligence · Computer Science 2018-06-13 Mohamed El Halaby

This paper presents SibylSat, a novel SAT-based method designed to efficiently solve totally-ordered HTN problems (TOHTN). In contrast to prevailing SAT-based HTN planners that employ a breadth-first search strategy, SibylSat adopts a…

Artificial Intelligence · Computer Science 2024-11-05 Gaspard Quenard , Damier Pellier , Humbert Fiorino

The Boolean satisfiability (SAT) problem lies at the core of many applications in combinatorial optimization, software verification, cryptography, and machine learning. While state-of-the-art solvers have demonstrated high efficiency in…

Logic in Computer Science · Computer Science 2025-06-03 Zhiwei Zhang , Samy Wu Fung , Anastasios Kyrillidis , Stanley Osher , Moshe Y. Vardi

Modern high-performance SAT solvers quickly solve large satisfiability instances that occur in practice. If the instance is satisfiable, then the SAT solver can provide a witness which can be checked independently in the form of a…

Logic in Computer Science · Computer Science 2019-09-05 Cezar-Constantin Andrici , Ştefan Ciobâcă

We give a first account of our new parallel SAT solver Gimsatul. Its key feature is to share clauses physically in memory instead of copying them, which is the method of other state-of-the-art multi-threaded SAT solvers to exchange clauses…

Logic in Computer Science · Computer Science 2022-08-01 Mathias Fleury , Armin Biere

Many difficult computational problems involve the simultaneous satisfaction of multiple constraints which are individually easy to satisfy. Such problems occur in diffractive imaging, protein folding, constrained optimization (e.g., spin…

Computational Physics · Physics 2008-10-01 Simon Gravel , Veit Elser