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Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

人工智能 · 计算机科学 2026-05-08 Joshua Gibson , Kapil Dhakal

The success of Conflict Driven Clause Learning (CDCL) for Boolean satisfiability has inspired adoption in other domains. We present a novel lifting of CDCL to program analysis called Abstract Conflict Driven Learning for Programs (ACDLP).…

计算机科学中的逻辑 · 计算机科学 2017-07-10 Rajdeep Mukherjee , Peter Schrammel , Leopold Haller , Daniel Kroening , Tom Melham

Recent research in areas such as SAT solving and Integer Linear Programming has shown that the performances of a single arbitrarily efficient solver can be significantly outperformed by a portfolio of possibly slower on-average solvers. We…

人工智能 · 计算机科学 2014-01-07 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

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

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…

人工智能 · 计算机科学 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Boolean Satisfiability (SAT) is a well-known NP-complete problem. Despite this theoretical hardness, SAT solvers based on Conflict Driven Clause Learning (CDCL) can solve large SAT instances from many important domains. CDCL learns clauses…

人工智能 · 计算机科学 2021-05-12 Md Solimul Chowdhury , Martin Müller , Jia You

Satisfiability (SAT) solvers based on techniques such as conflict driven clause learning (CDCL) have produced excellent performance on both synthetic and real world industrial problems. While these CDCL solvers only operate on a per-problem…

机器学习 · 计算机科学 2025-02-18 Yi Fu , Anthony Tompkins , Yang Song , Maurice Pagnucco

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…

人工智能 · 计算机科学 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

We prove that conflict-driven clause learning SAT-solvers with the ordered decision strategy and the DECISION learning scheme are equivalent to ordered resolution. We also prove that, by replacing this learning scheme with its opposite that…

计算机科学中的逻辑 · 计算机科学 2019-09-11 Nathan Mull , Shuo Pang , Alexander Razborov

Modern conflict-driven clause learning (CDCL) SAT solvers are very good in solving conjunctive normal form (CNF) formulas. However, some application problems involve lots of parity (xor) constraints which are not necessarily efficiently…

计算机科学中的逻辑 · 计算机科学 2014-07-25 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Boolean Satisfiability (SAT) solving underpins a wide range of applications in Electronic Design Automation (EDA), particularly formal verification. However, this paper observes that the mainstream clause reduction heuristic in modern SAT…

计算机科学中的逻辑 · 计算机科学 2026-02-26 Yalun Cai , Xindi Zhang , Zhengyuan Shi , Mengxia Tao , Qiang Xu

Neural networks in safety-critical applications face increasing safety and security concerns due to their susceptibility to little disturbance. In this paper, we propose DeepCDCL, a novel neural network verification framework based on the…

机器学习 · 计算机科学 2024-03-14 Zongxin Liu , Pengfei Yang , Lijun Zhang , Xiaowei Huang

The ability to model search in a constraint solver can be an essential asset for solving combinatorial problems. However, existing infrastructure for defining search heuristics is often inadequate. Either modeling capabilities are extremely…

人工智能 · 计算机科学 2012-03-07 Tom Schrijvers , Guido Tack , Pieter Wuille , Horst Samulowitz , Peter J. Stuckey

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

人工智能 · 计算机科学 2019-01-01 Matthias Nickles

Over the last few decades, many distinct lines of research aimed at automating mathematics have been developed, including computer algebra systems (CASs) for mathematical modelling, automated theorem provers for first-order logic, SAT/SMT…

计算机科学中的逻辑 · 计算机科学 2019-09-18 Curtis Bright , Ilias Kotsireas , Vijay Ganesh

Efficient decision-making over continuously changing data is essential for many application domains such as cyber-physical systems, industry digitalization, etc. Modern stream reasoning frameworks allow one to model and solve various…

人工智能 · 计算机科学 2020-08-10 Carmine Dodaro , Thomas Eiter , Paul Ogris , Konstantin Schekotihin

Constrained Horn Clauses (CHCs) are often used in automated program verification. Thus, techniques for (dis-)proving satisfiability of CHCs are a very active field of research. On the other hand, acceleration techniques for computing…

计算机科学中的逻辑 · 计算机科学 2023-07-17 Florian Frohn , Jürgen Giesl

Answer Set Programming (ASP) is a popular logic programming paradigm that has been applied for solving a variety of complex problems. Among the most challenging real-world applications of ASP are two industrial problems defined by Siemens:…

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…

人工智能 · 计算机科学 2016-08-03 Frank Hutter , Marius Lindauer , Adrian Balint , Sam Bayless , Holger Hoos , Kevin Leyton-Brown

Answer Set Programming (ASP) is a powerful tool for solving real-world problems. However, many problems involve numeric values and complex constraints beyond the capabilities of standard ASP solvers. Hybrid solvers like CLINGCON and…

人工智能 · 计算机科学 2025-02-14 Nicolas Rühling