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This paper introduces the Quantified Boolean Bayesian Network (QBBN), which provides a unified view of logical and probabilistic reasoning. The QBBN is meant to address a central problem with the Large Language Model (LLM), which has become…

Artificial Intelligence · Computer Science 2024-02-12 Gregory Coppola

Understanding probabilistic dependencies among variables is central to analyzing complex systems. Traditional structure learning methods often require extensive observational data or are limited by manual, error-prone incorporation of…

Machine Learning · Computer Science 2026-02-24 Yinghuan Zhang , Yufei Zhang , Parisa Kordjamshidi , Zijun Cui

The self-rationalising capabilities of LLMs are appealing because the generated explanations can give insights into the plausibility of the predictions. However, how faithful the explanations are to the predictions is questionable, raising…

Computation and Language · Computer Science 2024-12-18 Marc Braun , Jenny Kunz

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

Large language models (LLMs) are increasingly expected to function as collaborative partners, engaging in back-and-forth dialogue to solve complex, ambiguous problems. However, current LLMs often falter in real-world settings, defaulting to…

Artificial Intelligence · Computer Science 2025-07-30 Tenghao Huang , Sihao Chen , Muhao Chen , Jonathan May , Longqi Yang , Mengting Wan , Pei Zhou

The relationship between communicated language and intended meaning is often probabilistic and sensitive to context. Numerous strategies attempt to estimate such a mapping, often leveraging recursive Bayesian models of communication. In…

Computation and Language · Computer Science 2023-05-03 Benjamin Lipkin , Lionel Wong , Gabriel Grand , Joshua B Tenenbaum

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

Understanding how Large Language Models (LLMs) perform logical reasoning internally remains a fundamental challenge. While prior mechanistic studies focus on identifying taskspecific circuits, they leave open the question of what…

Artificial Intelligence · Computer Science 2026-01-09 Danchun Chen , Qiyao Yan , Liangming Pan

Quantitative reasoning is a critical skill to analyze data, yet the assessment of such ability remains limited. To address this gap, we introduce the Quantitative Reasoning with Data (QRData) benchmark, aiming to evaluate Large Language…

Computation and Language · Computer Science 2024-06-11 Xiao Liu , Zirui Wu , Xueqing Wu , Pan Lu , Kai-Wei Chang , Yansong Feng

The idea of representing symbolic knowledge in connectionist systems has been a long-standing endeavour which has attracted much attention recently with the objective of combining machine learning and scalable sound reasoning. Early work…

Artificial Intelligence · Computer Science 2021-12-15 Son N. Tran , Artur d'Avila Garcez

Knowledge graph embedding (KGE) models perform well on link prediction but struggle with unseen entities, relations, and especially literals, limiting their use in dynamic, heterogeneous graphs. In contrast, pretrained large language models…

Computation and Language · Computer Science 2026-04-15 Alkid Baci , Luke Friedrichs , Caglar Demir , N'Dah Jean Kouagou , Axel-Cyrille Ngonga Ngomo

NLP tasks differ in the semantic information they require, and at this time no single se- mantic representation fulfills all requirements. Logic-based representations characterize sentence structure, but do not capture the graded aspect of…

Computation and Language · Computer Science 2016-06-09 I. Beltagy , Stephen Roller , Pengxiang Cheng , Katrin Erk , Raymond J. Mooney

Knowledge graph reasoning, which aims at predicting the missing facts through reasoning with the observed facts, is critical to many applications. Such a problem has been widely explored by traditional logic rule-based approaches and recent…

Machine Learning · Computer Science 2019-10-30 Meng Qu , Jian Tang

We provide conceptual and mathematical foundations for near-term quantum natural language processing (QNLP), and do so in quantum computer scientist friendly terms. We opted for an expository presentation style, and provide references for…

Quantum Physics · Physics 2020-12-08 Bob Coecke , Giovanni de Felice , Konstantinos Meichanetzidis , Alexis Toumi

While large language models (LLMs) such as ChatGPT and PaLM have demonstrated remarkable performance in various language understanding and generation tasks, their capabilities in complex reasoning and intricate knowledge utilization still…

Computation and Language · Computer Science 2023-10-11 Haodi Zhang , Min Cai , Xinhe Zhang , Chen Jason Zhang , Rui Mao , Kaishun Wu

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Modern explainable AI still struggles with a fundamental gap: although Bayesian networks (BNs) provide transparent probabilistic structure, there is no unified way to formally express, query, and verify what these models imply. Analysts…

Artificial Intelligence · Computer Science 2026-04-29 Stefano M. Nicoletti , E. Moritz Hahn , Mariëlle Stoelinga

We introduce the Probabilistic Worldbuilding Model (PWM), a new fully-symbolic Bayesian model of semantic parsing and reasoning, as a first step in a research program toward more domain- and task-general NLU and AI. Humans create internal…

Computation and Language · Computer Science 2021-12-22 Abulhair Saparov , Tom M. Mitchell

Mainstream methods for Legal Judgment Prediction (LJP) based on Pre-trained Language Models (PLMs) heavily rely on the statistical correlation between case facts and judgment results. This paradigm lacks explicit modeling of legal…

Computation and Language · Computer Science 2026-03-13 Yuzhi Liang , Lixiang Ma , Xinrong Zhu

Real-world decision-making, from tax compliance assessment to medical diagnosis, requires aggregating multiple noisy and potentially contradictory evidence sources. Existing approaches either lack explicit uncertainty quantification (neural…

Artificial Intelligence · Computer Science 2026-03-19 Aliyu Agboola Alege
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