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Modern conflict-driven clause-learning (CDCL) Boolean SAT solvers provide efficient automatic analysis of real-world feature models (FM) of systems ranging from cars to operating systems. It is well-known that solver-based analysis of…

软件工程 · 计算机科学 2015-07-30 Jia Hui Liang , Vijay Ganesh , Venkatesh Raman , Krzysztof Czarnecki

We introduce and benchmark a stochastic local search heuristic for the NP-complete satisfiability problem 3-SAT that drastically outperforms existing solvers in the notoriously difficult realm of critically hard instances. Our construction…

人工智能 · 计算机科学 2025-06-23 J. Schwardt , J. C. Budich

The Model-Constructing Satisfiability Calculus (MCSAT) framework has been applied to SMT problems over various arithmetic theories. NLSAT, an implementation using cylindrical algebraic decomposition (CAD) for explanation, is especially…

符号计算 · 计算机科学 2025-09-30 Zhonghan Wang

In recent years, quantum annealing has gained the status of being a promising candidate for solving various optimization problems. Using a set of hard 2-satisfiabilty (2-SAT) problems, consisting of upto 18-variables problems, we analyze…

量子物理 · 物理学 2022-06-09 Vrinda Mehta , Fengping Jin , Hans De Raedt , Kristel Michielsen

In various scenarios, a single phase of modelling and solving is either not sufficient or not feasible to solve the problem at hand. A standard approach to solving AI planning problems, for example, is to incrementally extend the planning…

人工智能 · 计算机科学 2020-09-24 Gökberk Koçak , Özgür Akgün , Nguyen Dang , Ian Miguel

In multi-agent path finding (MAPF) the task is to find non-conflicting paths for multiple agents. In this paper we focus on finding suboptimal solutions for MAPF for the sum-of-costs variant. Recently, a SAT-based approached was developed…

人工智能 · 计算机科学 2017-07-04 Pavel Surynek , Ariel Felner , Roni Stern , Eli Boyarski

We present algorithms based on satisfiability problem (SAT) solving, as well as answer set programming (ASP), for solving the problem of determining inconsistency degrees in propositional knowledge bases. We consider six different…

人工智能 · 计算机科学 2025-04-07 Isabelle Kuhlmann , Anna Gessler , Vivien Laszlo , Matthias Thimm

We propose a general framework for solving inverse self-assembly problems, i.e. designing interactions between elementary units such that they assemble spontaneously into a predetermined structure. Our approach uses patchy particles as…

软凝聚态物质 · 物理学 2022-07-13 John Russo , Flavio Romano , Lukas Kroc , Francesco Sciortino , Lorenzo Rovigatti , Petr Sulc

The CNF formula satisfiability problem (CNF-SAT) has been reduced to many fundamental problems in P to prove tight lower bounds under the Strong Exponential Time Hypothesis (SETH). Recently, the works of Abboud, Hansen, Vassilevska W. and…

计算复杂性 · 计算机科学 2020-08-31 Daniel Gibney , Gary Hoppenworth , Sharma V. Thankachan

DNA computation could in principle solve the satisfiability (SAT) problem due to the operations in parallel on extremely large numbers of strands. We demonstrate some quantum gates corresponding to the DNA ones, based on which an…

量子物理 · 物理学 2008-02-05 T. T. Ren , M. Feng , W. -L. Chang , J. Luo , M. S. Zhan

Learning-based approaches to NP-hard problems have shown increasing promise, but their progress is fundamentally constrained by the high cost of generating labeled training data. In domains such as Boolean satisfiability (SAT), standard…

机器学习 · 计算机科学 2026-05-11 Eshed Gal , Uri Ascher , Eldad Haber

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…

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…

人工智能 · 计算机科学 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…

软件工程 · 计算机科学 2024-09-17 Nick Feng , Lina Marsso , Marsha Chechik

Quantum computer algorithms can exploit the structure of random satisfiability problems. This paper extends a previous empirical evaluation of such an algorithm and gives an approximate asymptotic analysis accounting for both the average…

量子物理 · 物理学 2007-05-23 Tad Hogg

The satisfiability problem is one of the most famous problems in computer science. Its NP-completeness has been used to argue that SAT is intractable. However, there have been tremendous advances that allow SAT solvers to solve instances…

数据结构与算法 · 计算机科学 2022-10-25 Jan-Hendrik Lorenz , Florian Wörz

Boolean Satisfiability (SAT) solvers are now routinely used in the verification of large industrial problems. However, their application in safety-critical domains such as the railways, avionics, and automotive industries requires some form…

计算机科学中的逻辑 · 计算机科学 2009-12-17 Ashish Darbari , Bernd Fischer , Joao Marques-Silva

Despite remarkable achievements in its practical tractability, the notorious class of NP-complete problems has been escaping all attempts to find a worst-case polynomial time-bound solution algorithms for any of them. The vast majority of…

计算复杂性 · 计算机科学 2017-05-05 Stefan Rass

Optimization problems pervade essentially every scientific discipline and industry. Many such problems require finding a solution that maximizes the number of constraints satisfied. Often, these problems are particularly difficult to solve…

人工智能 · 计算机科学 2017-10-26 Fabio L. Traversa , Pietro Cicotti , Forrest Sheldon , Massimiliano Di Ventra

Finding a quantum computing method to solve nondeterministic polynomial time (NP)-complete problems is currently of paramount importance in quantum information science. Here an experiment is presented to demonstrate the use of Rydberg atoms…

量子物理 · 物理学 2024-07-03 Seokho Jeong , Minhyuk Kim , Minki Hhan , Jaewook Ahn