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In this paper two algorithms solving circuit satisfiability problem over supernilpotent algebras are presented. The first one is deterministic and is faster than fastest previous algorithm presented by Aichinger. The second one is…

Computational Complexity · Computer Science 2020-02-21 Piotr Kawałek , Jacek Krzaczkowski

We present a scalable parallel solver for numerical constraint satisfaction problems (NCSPs). Our parallelization scheme consists of homogeneous worker solvers, each of which runs on an available core and communicates with others via the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-19 Daisuke Ishii , Kazuki Yoshizoe , Toyotaro Suzumura

In this paper we present a satisfiability-preserving reduction from MITL interpreted over finitely-variable continuous behaviors to Constraint LTL over clocks, a variant of CLTL that is decidable, and for which an SMT-based bounded…

Logic in Computer Science · Computer Science 2013-07-18 Marcello Maria Bersani , Matteo Rossi , Pierluigi San Pietro

We present an analysis of different methods to calculate the classical electrostatic Hartree potential created by charge distributions. Our goal is to provide the reader with an estimation on the performance ---in terms of both numerical…

As multicore computing is now standard, it seems irresponsible for constraints researchers to ignore the implications of it. Researchers need to address a number of issues to exploit parallelism, such as: investigating which constraint…

Artificial Intelligence · Computer Science 2018-03-30 Ian P. Gent , Ciaran McCreesh , Ian Miguel , Neil C. A. Moore , Peter Nightingale , Patrick Prosser , Chris Unsworth

A delta-model is a satisfying assignment of a Boolean formula for which any small alteration, such as a single bit flip, can be repaired by flips to some small number of other bits, yielding a new satisfying assignment. These satisfying…

Artificial Intelligence · Computer Science 2011-09-30 A. Roy

Satisfiability-based automated reasoning is an approach that is being successfully used in software engineering to validate complex software, including for safety-critical systems. Such reasoning underlies many validation activities, from…

Software Engineering · Computer Science 2024-09-17 Nick Feng , Lina Marsso , Marsha Chechik

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

In a seminal paper from 1985, Sistla and Clarke showed that satisfiability for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of temporal operators used. If, in contrast, the set of propositional…

Logic in Computer Science · Computer Science 2015-07-01 Michael Bauland , Thomas Schneider , Henning Schnoor , Ilka Schnoor , Heribert Vollmer

In order to classify the indeterministic termination behavior of the open source SAT solver CryptoMiniSat in multi-threading mode while processing hard to solve boolean satisfiability problem instances, internal solver runtime parameters…

Artificial Intelligence · Computer Science 2021-12-20 A. -M. Leventi-Peetz , Jörg-Volker Peetz , Martina Rohde

The solution-space structure of the 3-Satisfiability Problem (3-SAT) is studied as a function of the control parameter alpha (ratio of number of clauses to the number of variables) using numerical simulations. For this purpose, one has to…

Disordered Systems and Neural Networks · Physics 2015-05-18 Alexander Mann , A. K. Hartmann

This paper introduces a novel approach to the power system security assessment using Multi-Task Learning (MTL), and reformulating the problem as a multi-label classification task. The proposed MTL framework simultaneously assesses static,…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Muhy Eddin Za'ter , Amir Sajad , Bri-Mathias Hodge

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

We present our extension of ACL2 with Satisfiability Modulo Theories (SMT) solvers using ACL2's trusted clause processor mechanism. We are particularly interested in the verification of physical systems including Analog and Mixed-Signal…

Logic in Computer Science · Computer Science 2015-09-22 Yan Peng , Mark Greenstreet

Optimization of Mixed-Integer Non-Linear Programming (MINLP) supports important decisions in applications such as Chemical Process Engineering. But current solvers have limited ability for deductive reasoning or the use of domain-specific…

Artificial Intelligence · Computer Science 2017-02-07 Andrea Callia D'Iddio , Michael Huth

Zot is an agile and easily extendible bounded model checker, which can be downloaded at http://home.dei.polimi.it/pradella/. The tool supports different logic languages through a multi-layered approach: its core uses PLTL, and on top of it…

Logic in Computer Science · Computer Science 2009-12-31 Matteo Pradella

In this paper, we extend the Maximum Satisfiability (MaxSAT) problem to {\L}ukasiewicz logic. The MaxSAT problem for a set of formulae {\Phi} is the problem of finding an assignment to the variables in {\Phi} that satisfies the maximum…

Logic in Computer Science · Computer Science 2018-06-12 Mohamed El Halaby , Areeg Abdalla

We consider the problem of solving floating-point constraints obtained from software verification. We present UppSAT --- a new implementation of a systematic approximation refinement framework [ZWR17] as an abstract SMT solver. Provided…

Logic in Computer Science · Computer Science 2017-12-12 Aleksandar Zeljic , Peter Backeman , Christoph M. Wintersteiger , Philipp Ruemmer

SMT solvers use sophisticated techniques for polynomial (linear or non-linear) integer arithmetic. In contrast, non-polynomial integer arithmetic has mostly been neglected so far. However, in the context of program verification, polynomials…

Logic in Computer Science · Computer Science 2025-08-29 Florian Frohn , Jürgen Giesl

Learned clauses minimization (LCM) let to performance improvements of modern SAT solvers especially in solving hard SAT instances. Despite the success of LCM approaches in sequential solvers, they are not widely incorporated in parallel SAT…

Data Structures and Algorithms · Computer Science 2019-08-06 Marc Hartung , Florian Schintke
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