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In this paper, we revisit an important issue of CDCL-based SAT solvers, namely the learned clauses database management policies. Our motivation takes its source from a simple observation on the remarkable performances of both random and…

Artificial Intelligence · Computer Science 2014-02-11 Said Jabbour , Jerry Lonlac , Lakhdar Sais , Yakoub Salhi

There are two competing paradigms in successful SAT solvers: Conflict-driven clause learning (CDCL) and stochastic local search (SLS). CDCL uses systematic exploration of the search space and has the ability to learn new clauses. SLS…

Artificial Intelligence · Computer Science 2020-05-11 Jan-Hendrik Lorenz , Florian Wörz

Conflict-driven clause learning (CDCL) is a remarkably successful paradigm for solving the satisfiability problem of propositional logic. Instead of a simple depth-first backtracking approach, this kind of solver learns the reason behind…

Artificial Intelligence · Computer Science 2022-10-12 Tom Krüger , Jan-Hendrik Lorenz , Florian Wörz

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…

Logic in Computer Science · Computer Science 2026-02-26 Yalun Cai , Xindi Zhang , Zhengyuan Shi , Mengxia Tao , Qiang Xu

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…

Artificial Intelligence · Computer Science 2021-05-12 Md Solimul Chowdhury , Martin Müller , Jia You

A state-of-the-art criterion to evaluate the importance of a given learned clause is called Literal Block Distance (LBD) score. It measures the number of distinct decision levels in a given learned clause. The lower the LBD score of a…

Artificial Intelligence · Computer Science 2019-04-26 Md Solimul Chowdhury , Martin Müller , Jia-Huai You

More and more languages have a need for constraint solving capabilities for features like error detection or automatic code generation. Imagine a dependently typed language that can immediately implement a program as soon as its type is…

Programming Languages · Computer Science 2022-08-23 Arved Friedemann , Oliver Keszocze

In this paper a new dynamic subsumption technique for Boolean CNF formulae is proposed. It exploits simple and sufficient conditions to detect during conflict analysis, clauses from the original formula that can be reduced by subsumption.…

Artificial Intelligence · Computer Science 2009-04-02 Youssef Hamadi , Said Jabbour , Lakhdar Sais

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…

Logic in Computer Science · Computer Science 2019-09-11 Nathan Mull , Shuo Pang , Alexander Razborov

This paper defines the (first-order) conflict resolution calculus: an extension of the resolution calculus inspired by techniques used in modern SAT-solvers. The resolution inference is restricted to (first-order) unit-propagation and the…

Logic in Computer Science · Computer Science 2016-02-16 John Slaney , Bruno Woltzenlogel Paleo

State-of-the-art SAT solvers are nowadays able to handle huge real-world instances. The key to this success is the so-called Conflict-Driven Clause-Learning (CDCL) scheme, which encompasses a number of techniques that exploit the conflicts…

Artificial Intelligence · Computer Science 2024-02-27 Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell

Modern CDCL SAT solvers learn clauses rapidly, and an important heuristic is the clause deletion scheme. Most current solvers have two (or more) stores of clauses. One has ``valuable'' clauses which are never deleted. Most learned clauses…

Artificial Intelligence · Computer Science 2021-10-28 Sima Jamali , David Mitchell

Knowledge base provides a potential way to improve the intelligence of information retrieval (IR) systems, for that knowledge base has numerous relations between entities which can help the IR systems to conduct inference from one entity to…

Computation and Language · Computer Science 2019-07-29 Hai Ye , Zhunchen Luo

Efficient implementations of DPLL with the addition of clause learning are the fastest complete Boolean satisfiability solvers and can handle many significant real-world problems, such as verification, planning and design. Despite its…

Artificial Intelligence · Computer Science 2011-07-04 P. Beame , H. Kautz , A. Sabharwal

Distant supervision has become the standard method for relation extraction. However, even though it is an efficient method, it does not come at no cost---The resulted distantly-supervised training samples are often very noisy. To combat the…

Computation and Language · Computer Science 2018-05-28 Pengda Qin , Weiran Xu , William Yang Wang

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

The noisy labeling problem has been one of the major obstacles for distant supervised relation extraction. Existing approaches usually consider that the noisy sentences are useless and will harm the model's performance. Therefore, they…

Computation and Language · Computer Science 2019-11-25 Yuming Shang

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…

Logic in Computer Science · Computer Science 2014-07-25 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Clause selection is arguably the most important choice point in saturation-based theorem proving. Framing it as a reinforcement learning (RL) task is a way to challenge the human-designed heuristics of state-of-the-art provers and to…

Artificial Intelligence · Computer Science 2025-06-03 Martin Suda

Strategic classification, i.e. classification under possible strategic manipulations of features, has received a lot of attention from both the machine learning and the game theory community. Most works focus on analysing properties of the…

Machine Learning · Computer Science 2022-03-28 Tosca Lechner , Ruth Urner
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