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With the surging popularity of approximate near-neighbor search (ANNS), driven by advances in neural representation learning, the ability to serve queries accompanied by a set of constraints has become an area of intense interest. While the…

信息检索 · 计算机科学 2023-08-30 Gaurav Gupta , Jonah Yi , Benjamin Coleman , Chen Luo , Vihan Lakshman , Anshumali Shrivastava

Feature extraction is a fundamental task in the application of machine learning methods to SAT solving. It is used in algorithm selection and configuration for solver portfolios and satisfiability classification. Many approaches have been…

人工智能 · 计算机科学 2022-05-02 Benjamin Provan-Bessell , Marco Dalla , Andrea Visentin , Barry O'Sullivan

A Pseudo-Boolean (PB) constraint is a linear arithmetic constraint over Boolean variables. PB constraints are convenient and widely used in expressing NP-complete problems. We introduce a new, two step, method for transforming PB…

计算机科学中的逻辑 · 计算机科学 2015-03-19 Amir Aavani

In this report, we propose a quick survey of the currently known techniques for encoding a Boolean cardinality constraint into a CNF formula, and we discuss about the relevance of these encodings. We also propose models to facilitate…

人工智能 · 计算机科学 2010-12-20 Olivier Bailleux

We introduce the problem of finding a satisfying assignment to a CNF formula that must further belong to a prescribed input subspace. Equivalent formulations of the problem include finding a point outside a union of subspaces (the…

数据结构与算法 · 计算机科学 2021-08-16 Vikraman Arvind , Venkatesan Guruswami

A new stream of research was born in the last decade with the goal of mining itemsets of interest using Constraint Programming (CP). This has promoted a natural way to combine complex constraints in a highly flexible manner. Although CP…

人工智能 · 计算机科学 2012-07-27 Rui Henriques , Inês Lynce , Vasco Manquinho

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

人工智能 · 计算机科学 2011-02-01 Andrea Roli , Michela Milano

There are a huge number of problems, from various areas, being solved by reducing them to SAT. However, for many applications, translation into SAT is performed by specialized, problem-specific tools. In this paper we describe a new system…

人工智能 · 计算机科学 2015-07-01 Predrag Janicic

The search for increased trustworthiness of SAT solvers is very active and uses various methods. Some of these methods obtain a proof from the provers then check it, normally by replicating the search based on the proof's information.…

计算机科学中的逻辑 · 计算机科学 2017-12-06 Tomer Libal , Xaviera Steele

To resolve the non-convex optimization problem in partial wave analysis, this paper introduces a novel approach that incorporates fraction constraints into the likelihood function. This method offers significant improvements in both the…

高能物理 - 实验 · 物理学 2024-01-22 Xiang Dong , Chu-Cheng Pan , Yu-Chang Sun , Ao-Yan Cheng , Ao-Bo Wang , Hao Cai , Kai Zhu

As Cook-Levin theorem showed, every NP problem can be reduced to SAT in polynomial time. In this paper I show a simpler and more efficent method to reduce some factorization problems to the satisfability of a boolean formula.

计算复杂性 · 计算机科学 2020-04-29 Davide Maran

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

On the one hand, Constraint Satisfaction Problems allow one to declaratively model problems. On the other hand, propositional satisfiability problem (SAT) solvers can handle huge SAT instances. We thus present a technique to declaratively…

人工智能 · 计算机科学 2014-07-01 Frédéric Lardeux , Eric Monfroy , Broderick Crawford , Ricardo Soto

We consider the problem of elimination of existential quantifiers from a Boolean CNF formula. Our approach is based on the following observation. One can get rid of dependency on a set of variables of a quantified CNF formula F by adding…

计算机科学中的逻辑 · 计算机科学 2012-06-06 Eugene Goldberg , Panagiotis Manolios

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

计算机科学中的逻辑 · 计算机科学 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

In this paper, we propose a first application of data mining techniques to propositional satisfiability. Our proposed Mining4SAT approach aims to discover and to exploit hidden structural knowledge for reducing the size of propositional…

人工智能 · 计算机科学 2013-04-17 Said Jabbour , Lakhdar Sais , Yakoub Salhi

We describe an algorithm for proving termination of programs abstracted to systems of monotonicity constraints in the integer domain. Monotonicity constraints are a non-trivial extension of the well-known size-change termination method.…

计算机科学中的逻辑 · 计算机科学 2011-08-01 Michael Codish , Igor Gonopolskiy , Amir M. Ben-Amram , Carsten Fuhs , Jürgen Giesl

In this article, we show that the completion problem, i.e. the decision problem whether a partial structure can be completed to a full structure, is NP-complete for many combinatorial structures. While the gadgets for most reductions in…

计算复杂性 · 计算机科学 2024-02-12 Helena Bergold , Manfred Scheucher , Felix Schröder

We propose a novel approach for the development, analysis, and verification of reductions between NP-complete problems. This method uses the URSA system, a SAT-based constraint solver and incorporates features that distinguish it from…

计算机科学中的逻辑 · 计算机科学 2025-11-25 Predrag Janičić

Many constraint satisfaction and optimisation problems can be solved effectively by encoding them as instances of the Boolean Satisfiability problem (SAT). However, even the simplest types of constraints have many encodings in the…

人工智能 · 计算机科学 2023-11-09 Felix Ulrich-Oltean , Peter Nightingale , James Alfred Walker