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The problem of computing Craig interpolants in SAT and SMT has recently received a lot of interest, mainly for its applications in formal verification. Efficient algorithms for interpolant generation have been presented for some theories of…

Logic in Computer Science · Computer Science 2015-07-01 Alberto Griggio , Thi Thieu Hoa Le , Roberto Sebastiani

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

Constraint Programming (CP) solvers typically tackle optimization problems by repeatedly finding solutions to a problem while placing tighter and tighter bounds on the solution cost. This approach is somewhat naive, especially for…

Logic in Computer Science · Computer Science 2013-05-09 Nicholas Downing , Thibaut Feydy , Peter J. Stuckey

We introduce FRAT, a new proof format for unsatisfiable SAT problems, and its associated toolchain. Compared to DRAT, the FRAT format allows solvers to include more information in proofs to reduce the computational cost of subsequent…

Logic in Computer Science · Computer Science 2023-06-22 Seulkee Baek , Mario Carneiro , Marijn J. H. Heule

The NeuroSAT neural network architecture was recently introduced for predicting properties of propositional formulae. When trained to predict the satisfiability of toy problems, it was shown to find solutions and unsatisfiable cores on its…

Neural and Evolutionary Computing · Computer Science 2019-07-23 Daniel Selsam , Nikolaj Bjørner

In this paper, we provide a deterministic polynomial time algorithm that determines satisfiability of 3-SAT. The complexity analysis for the algorithm takes into account no efficiency and yet provides a low enough bound, that efficient…

Data Structures and Algorithms · Computer Science 2020-07-02 Ortho Flint , Asanka Wickramasinghe , Jason Brasse , Christopher Fowler

We develop a sound, complete and practically implementable tableaux-based decision method for constructive satisfiability testing and model synthesis in the fragment ATL+ of the full Alternating time temporal logic ATL*. The method extends…

Logic in Computer Science · Computer Science 2015-05-28 Serenella Cerrito , Amélie David , Valentin Goranko

The robustness and correctness of SAT solvers are receiving more and more attention. In recent SAT competitions, a proof of unsatisfiability emitted by SAT solvers must be checked. So far, no proof checker has been efficient for every case.…

Software Engineering · Computer Science 2018-06-26 Jingchao Chen

Managing the software complexity of package-based systems can be regarded as one of the main challenges in software architectures. Upgrades are required on a short time basis and systems are expected to be reliable and consistent after…

Logic in Computer Science · Computer Science 2010-07-08 Josep Argelich , Daniel Le Berre , Inês Lynce , Joao Marques-Silva , Pascal Rapicault

Simultaneously utilizing several complementary solvers is a simple yet effective strategy for solving computationally hard problems. However, manually building such solver portfolios typically requires considerable domain knowledge and…

Artificial Intelligence · Computer Science 2018-04-18 Shengcai Liu , Ke Tang , Xin Yao

Since the advent of parallel algorithms in the C++17 Standard Template Library (STL), the STL has become a viable framework for creating performance-portable applications. Given multiple existing implementations of the parallel algorithms,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Ruben Laso , Diego Krupitza , Sascha Hunold

This report presents VLSAT-2 (an acronym for "Very Large Boolean SATisfiability problems),the second part of a benchmark suite to be used in scientific experiments and softwarecompetitions addressing SAT-solving issues.VLSAT-2 contains 100…

Data Structures and Algorithms · Computer Science 2021-10-14 Pierre Bouvier , Hubert Garavel

Conflict-Driven Clause Learning (CDCL) is the mainstream framework for solving the Satisfiability problem (SAT), and CDCL solvers typically rely on various heuristics, which have a significant impact on their performance. Modern CDCL…

Artificial Intelligence · Computer Science 2024-11-14 Yiwen Sun , Furong Ye , Xianyin Zhang , Shiyu Huang , Bingzhen Zhang , Ke Wei , Shaowei Cai

Any satisfiability problem in conjunctive normal form can be solved in polynomial time by reducing it to a 3-sat formulation and transforming this to a Linear Complementarity problem (LCP) which is then solved as a linear program (LP). Any…

Computational Complexity · Computer Science 2018-01-31 Giacomo Patrizi

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

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

In this paper we discuss the theory used in the design of an open source lightmorphic signatures analysis toolkit (LSAT). In addition to providing a core functionality, the software package enables specific optimizations with its modular…

Machine Learning · Computer Science 2023-01-03 D. Damian

Multi-Task Learning (MTL) is a powerful technique that has gained popularity due to its performance improvement over traditional Single-Task Learning (STL). However, MTL is often challenging because there is an exponential number of…

Machine Learning · Computer Science 2024-05-28 Ammar Sherif , Abubakar Abid , Mustafa Elattar , Mohamed ElHelw

We consider linear programs involving uncertain parameters and propose a new tractable robust counterpart which contains and generalizes several other models including the existing Affinely Adjustable Robust Counterpart and the Fully…

Optimization and Control · Mathematics 2016-04-12 Walid Ben-Ameur , Adam Ouorou , Guanglei Wang , Mateusz Żotkiewicz

Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to…

Mathematical Software · Computer Science 2017-09-18 J. Chang , K. B. Nakshatrala , M. G. Knepley , L. Johnsson