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Linear network coding transmits data through networks by letting the intermediate nodes combine the messages they receive and forward the combinations towards their destinations. The solvability problem asks whether the demands of all the…

Information Theory · Computer Science 2014-12-18 Maximilien Gadouleau , Adrien Richard , Eric Fanchon

Reasoning benchmarks such as the Abstraction and Reasoning Corpus (ARC) and ARC-AGI are widely used to assess progress in artificial intelligence and are often interpreted as probes of core, so-called ``fluid'' reasoning abilities. Despite…

Computation and Language · Computer Science 2026-01-12 Xinhe Wang , Jin Huang , Xingjian Zhang , Tianhao Wang , Jiaqi W. Ma

Recent research efforts aiming to bridge the Neural-Symbolic gap for RDFS reasoning proved empirically that deep learning techniques can be used to learn RDFS inference rules. However, one of their main deficiencies compared to rule-based…

Artificial Intelligence · Computer Science 2020-02-11 Bassem Makni , Ibrahim Abdelaziz , James Hendler

Standpoint logic is a recently proposed formalism in the context of knowledge integration, which advocates a multi-perspective approach permitting reasoning with a selection of diverse and possibly conflicting standpoints rather than…

Logic in Computer Science · Computer Science 2022-05-06 Tim S. Lyon , Lucía Gómez Álvarez

Belief systems are rarely globally consistent, yet effective reasoning often persists locally. We propose a novel graph-theoretic framework that cleanly separates credibility--external, a priori trust in sources--from confidence--an…

Artificial Intelligence · Computer Science 2025-10-14 Saleh Nikooroo , Thomas Engel

Noise-based logic, by utilizing its multidimensional logic hyperspace, has significant potential for low-power parallel operations in beyond-Moore-chips. However universal gates for Boolean logic thus far had to rely on either time…

Other Computer Science · Computer Science 2011-12-06 Ferdinand Peper , Laszlo B. Kish

Recent advances in test-time scaling have enabled Large Language Models (LLMs) to display sophisticated reasoning abilities via extended Chain-of-Thought (CoT) generation. Despite their potential, these Reasoning LLMs (RLMs) often…

Computation and Language · Computer Science 2025-05-21 Zhen Xiong , Yujun Cai , Zhecheng Li , Yiwei Wang

Understanding the fundamentals of human reasoning is central to the development of any system built to closely interact with humans. Cognitive science pursues the goal of modeling human-like intelligence from a theory-driven perspective…

Artificial Intelligence · Computer Science 2020-03-12 Nicolas Riesterer , Daniel Brand , Marco Ragni

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

This paper explores the question of how accurately current large language models can perform logical reasoning in natural language, with an emphasis on whether these models exhibit reasoning biases similar to humans. Specifically, our study…

Computation and Language · Computer Science 2024-08-09 Kentaro Ozeki , Risako Ando , Takanobu Morishita , Hirohiko Abe , Koji Mineshima , Mitsuhiro Okada

This study aims to optimize the existing retrieval-augmented generation model (RAG) by introducing a graph structure to improve the performance of the model in dealing with complex knowledge reasoning tasks. The traditional RAG model has…

Information Retrieval · Computer Science 2024-11-07 Yuxin Dong , Shuo Wang , Hongye Zheng , Jiajing Chen , Zhenhong Zhang , Chihang Wang

Chain-of-Thought (CoT) explanations are widely used to interpret how language models solve complex problems, yet it remains unclear whether these step-by-step explanations reflect how the model actually reaches its answer, or merely…

Computation and Language · Computer Science 2026-02-13 Donald Ye , Max Loffgren , Om Kotadia , Linus Wong

Our goal is a modern approach to answering questions via systematic reasoning where answers are supported by human interpretable proof trees grounded in an NL corpus of authoritative facts. Such a system would help alleviate the challenges…

Computation and Language · Computer Science 2024-08-14 Nathaniel Weir , Peter Clark , Benjamin Van Durme

Large Reasoning Models (LRMs) introduce new opportunities for safety monitoring through their Chain of Thought (CoT) reasoning. However, CoT is not always faithful to the model's final output, undermining its reliability as a monitoring…

Computation and Language · Computer Science 2026-05-19 Maciej Chrabąszcz , Aleksander Szymczyk , Marcin Sendera , Tomasz Trzciński , Sebastian Cygert

Automated theorem proving in first-order logic is an active research area which is successfully supported by machine learning. While there have been various proposals for encoding logical formulas into numerical vectors -- from simple…

Artificial Intelligence · Computer Science 2020-03-17 Ibrahim Abdelaziz , Veronika Thost , Maxwell Crouse , Achille Fokoue

Neuro-symbolic AI systems integrate neural perception with symbolic reasoning to enable data-efficient, interpretable, and robust intelligence beyond purely neural models. Although this compositional paradigm has shown superior performance…

Artificial Intelligence · Computer Science 2026-01-29 Zishen Wan , Che-Kai Liu , Jiayi Qian , Hanchen Yang , Arijit Raychowdhury , Tushar Krishna

Statistical Relational Models and, more recently, Probabilistic Programming, have been making strides towards an integration of logic and probabilistic reasoning. A natural expectation for this project is that a probabilistic logic…

Artificial Intelligence · Computer Science 2017-07-28 Gabriel Azevedo Ferreira , Quentin Bertrand , Charles Maussion , Rodrigo de Salvo Braz

Reasoning-based language models have demonstrated strong performance across various domains, with the most notable gains seen in mathematical and coding tasks. Recent research has shown that reasoning also offers significant benefits for…

Artificial Intelligence · Computer Science 2025-05-27 Makesh Narsimhan Sreedhar , Traian Rebedea , Christopher Parisien

We consider collocated wireless sensor networks, where each node has a Boolean measurement and the goal is to compute a given Boolean function of these measurements. We first consider the worst case setting and study optimal block…

Information Theory · Computer Science 2011-05-09 Hemant Kowshik , P. R. Kumar

The features of a logically sound approach to a theory of statistical reasoning are discussed. A particular approach that satisfies these criteria is reviewed. This is seen to involve selection of a model, model checking, elicitation of a…

Statistics Theory · Mathematics 2018-05-09 Luai Al-Labadi , Zeynep Baskurt , Michael Evans