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We investigate parameterizing hard combinatorial problems by the size of the solution set compared to all solution candidates. Our main result is a uniform sampling algorithm for satisfying assignments of 2-CNF formulas that runs in…

Discrete Mathematics · Computer Science 2017-08-04 Jean Cardinal , Jerri Nummenpalo , Emo Welzl

We present here a SAT-based framework for LTLf (Linear Temporal Logic on Finite Traces) satisfiability checking. We use propositional SAT-solving techniques to construct a transition system for the input LTLf formula; satisfiability…

Logic in Computer Science · Computer Science 2018-11-09 Jianwen Li , Kristin Y. Rozier , Geguang Pu , Yueling Zhang , Moshe Y. Vardi

The CTL learning problem consists in finding for a given sample of positive and negative Kripke structures a distinguishing CTL formula that is verified by the former but not by the latter. Further constraints may bound the size and shape…

Logic in Computer Science · Computer Science 2024-04-17 Adrien Pommellet , Daniel Stan , Simon Scatton

Large language models (LLMs) have demonstrated impressive capabilities, but still suffer from inconsistency issues (e.g. LLMs can react differently to disturbances like rephrasing or inconsequential order change). In addition to these…

Computation and Language · Computer Science 2024-06-19 Zhe Yang , Yichang Zhang , Tianyu Liu , Jian Yang , Junyang Lin , Chang Zhou , Zhifang Sui

Large Language Models (LLMs) have achieved remarkable performance across a wide range of mathematical benchmarks. However, concerns remain as to whether these successes reflect genuine reasoning or superficial pattern recognition. Existing…

Artificial Intelligence · Computer Science 2026-04-21 Yujie Hou , Mei Wang , Yaoyao Zhong , Ting Zhang , Xuetao Ma , Hua Huang

Large language models (LLMs) show an innate skill for solving language based tasks. But insights have suggested an inability to adjust for information or task-solving skills becoming outdated, as their knowledge, stored directly within…

Computation and Language · Computer Science 2024-04-16 Jerry Huang , Prasanna Parthasarathi , Mehdi Rezagholizadeh , Sarath Chandar

Large language models (LLMs) can understand human instructions, showing their potential for pragmatic applications beyond traditional NLP tasks. However, they still struggle with complex instructions, which can be either complex task…

Several paradigms for declarative problem solving start from a specification in a high-level language, which is then transformed to a low-level language, such as SAT or SMT. Often, this transformation includes a "grounding" step to remove…

Logic in Computer Science · Computer Science 2024-08-16 Lucas Van Laer , Simon Vandevelde , Joost Vennekens

Today's propositional satisfiability (SAT) solvers are extremely powerful and can be used as an efficient back-end for solving NP-complete problems. However, many fundamental problems in knowledge representation and reasoning are located at…

Computational Complexity · Computer Science 2016-07-04 Ronald de Haan , Stefan Szeider

Boolean satisfiability (SAT) problem, the first problem proven to be NP-complete, has become a fundamental challenge in computational complexity, with widespread applications in optimization and verification across many domains. Despite…

Logic in Computer Science · Computer Science 2026-04-01 Curie Kim , Carsten Portner , Mingju Liu , Steve Dai , Haoxing Ren , Brucek Khailany , Alvaro Velasquez , Ismail Alkhouri , Cunxi Yu

Boolean satisfiability (SAT) has an extensive application domain in computer science, especially in electronic design automation applications. Circuit synthesis, optimization, and verification problems can be solved by transforming original…

Artificial Intelligence · Computer Science 2016-03-18 Te-Hsuan Chen , Ju-Yi Lu

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…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

Long-tailed semi-supervised learning (LTSSL) presents a formidable challenge where models must overcome the scarcity of tail samples while mitigating the noise from unreliable pseudo-labels. Most prior LTSSL methods are designed to train…

Machine Learning · Computer Science 2026-04-09 Zhiyuan Huang , Jiahao Chen , Bing Su

Machine learning (ML) is ubiquitous in modern life. Since it is being deployed in technologies that affect our privacy and safety, it is often crucial to understand the reasoning behind its decisions, warranting the need for explainable AI.…

Artificial Intelligence · Computer Science 2021-02-04 Alexey Ignatiev , Edward Lam , Peter J. Stuckey , Joao Marques-Silva

We aim at providing a foundation of a theory of "good" SAT representations F of boolean functions f. We argue that the hierarchy UC_k of unit-refutation complete clause-sets of level k, introduced by the authors, provides the most basic…

Artificial Intelligence · Computer Science 2013-05-13 Matthew Gwynne , Oliver Kullmann

This is the latest in a series of articles aimed at exploring the relationship between the complexity classes of P and NP. In the previous papers, we have proved that the sat CNF problem is polynomially reduced to the problem of finding a…

Computational Complexity · Computer Science 2023-11-01 Stepan G. Margaryan

Large language models (LLM) have emerged as a powerful tool for AI, with the key ability of in-context learning (ICL), where they can perform well on unseen tasks based on a brief series of task examples without necessitating any…

Machine Learning · Computer Science 2024-05-31 Zhenmei Shi , Junyi Wei , Zhuoyan Xu , Yingyu Liang

This paper develops a parallel computational solver for computing all satifying assignments of a Boolean system of equations defined by Boolean functions of several variables. While there are we known solvers for satisfiability of Boolean…

Data Structures and Algorithms · Computer Science 2017-02-07 Virendra Sule

Fact-checking is necessary to address the increasing volume of misinformation. Traditional fact-checking relies on manual analysis to verify claims, but it is slow and resource-intensive. This study establishes baseline comparisons for…

Computation and Language · Computer Science 2025-02-14 Premtim Sahitaj , Iffat Maab , Junichi Yamagishi , Jawan Kolanowski , Sebastian Möller , Vera Schmitt

Configurable systems typically consist of reusable assets that have dependencies between each other. To specify such dependencies, feature models are commonly used. As feature models in practice are often complex, automated reasoning is…

Artificial Intelligence · Computer Science 2025-05-12 Chico Sundermann , Stefan Vill , Elias Kuiter , Sebastian Krieter , Thomas Thüm , Matthias Tichy
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