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Related papers: Chain of Logic: Rule-Based Reasoning with Large La…

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With recent advances in natural language processing, rationalization becomes an essential self-explaining diagram to disentangle the black box by selecting a subset of input texts to account for the major variation in prediction. Yet,…

Machine Learning · Computer Science 2023-09-12 Wenbo Zhang , Tong Wu , Yunlong Wang , Yong Cai , Hengrui Cai

Matching Logic is a framework for specifying programming language semantics and reasoning about programs. Its formulas are called patterns and are built with variables, symbols, connectives and quantifiers. A pattern is a combination of…

Logic in Computer Science · Computer Science 2018-11-16 Andrei Arusoaie , Dorel Lucanu

Large reasoning models (LRMs) generate complex reasoning traces with planning, reflection, verification, and backtracking. In this work, we introduce ReasoningFlow, a unified schema for analyzing the semantic structures of these complex…

Computation and Language · Computer Science 2025-06-04 Jinu Lee , Sagnik Mukherjee , Dilek Hakkani-Tur , Julia Hockenmaier

Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions,…

Artificial Intelligence · Computer Science 2026-01-06 Albert Sadowski , Jarosław A. Chudziak

Do language models make decisions under uncertainty like humans do, and what role does chain-of-thought (CoT) reasoning play in the underlying decision process? We introduce an active probabilistic reasoning task that cleanly separates…

Machine Learning · Computer Science 2026-02-10 Gonçalo Guiomar , Elia Torre , Pehuen Moure , Victoria Shavina , Mario Giulianelli , Shih-Chii Liu , Valerio Mante

Logicians study and apply a multiplicity of various logical systems. Consequently, there is necessity to build foundations and common grounds for all these systems. This is done in metalogic. Like metamathematics studies formalized…

Logic · Mathematics 2007-05-23 Mark Burgin

Reasoning is a distinctive human capacity, enabling us to address complex problems by breaking them down into a series of manageable cognitive steps. Yet, complex logical reasoning is still cumbersome for language models. Based on the dual…

Computation and Language · Computer Science 2023-11-14 Junbing Yan , Chengyu Wang , Taolin Zhang , Xiaofeng He , Jun Huang , Wei Zhang

Real-valued logics underlie an increasing number of neuro-symbolic approaches, though typically their logical inference capabilities are characterized only qualitatively. We provide foundations for establishing the correctness and power of…

Logic in Computer Science · Computer Science 2022-09-01 Ronald Fagin , Ryan Riegel , Alexander Gray

Systematicity, i.e., the ability to recombine known parts and rules to form new sequences while reasoning over relational data, is critical to machine intelligence. A model with strong systematicity is able to train on small-scale tasks and…

Artificial Intelligence · Computer Science 2022-05-16 Shengyao Lu , Bang Liu , Keith G. Mills , Shangling Jui , Di Niu

The need to explain the output from Machine Learning systems designed to predict the outcomes of legal cases has led to a renewed interest in the explanations offered by traditional AI and Law systems, especially those using factor based…

Artificial Intelligence · Computer Science 2021-06-29 Trevor Bench-Capon

Large language models that are capable of zero or few-shot prompting approaches have given rise to the new research area of prompt engineering. Recent advances showed that for example Chain-of-Thought (CoT) prompts can improve arithmetic or…

Computation and Language · Computer Science 2022-12-12 Fangyi Yu , Lee Quartey , Frank Schilder

Symbolic reasoning, rule-based symbol manipulation, is a hallmark of human intelligence. However, rule-based systems have had limited success competing with learning-based systems outside formalized domains such as automated theorem…

Machine Learning · Computer Science 2021-11-24 Kaiyu Yang , Jia Deng

Normative reasoning is a type of reasoning that involves normative or deontic modality, such as obligation and permission. While large language models (LLMs) have demonstrated remarkable performance across various reasoning tasks, their…

Artificial Intelligence · Computer Science 2025-11-03 Kentaro Ozeki , Risako Ando , Takanobu Morishita , Hirohiko Abe , Koji Mineshima , Mitsuhiro Okada

Chain-of-Thought (CoT) prompting has emerged as a pivotal technique for augmenting the inferential capabilities of language models during reasoning tasks. Despite its advancements, CoT often grapples with challenges in validating reasoning…

Artificial Intelligence · Computer Science 2024-12-09 Hanmeng Liu , Zhiyang Teng , Chaoli Zhang , Yue Zhang

In-context learning (ICL) can significantly enhance the complex reasoning capabilities of large language models (LLMs), with the key lying in the selection and ordering of demonstration examples. Previous methods typically relied on simple…

Computation and Language · Computer Science 2026-01-06 Xuetao Ma , Wenbin Jiang , Hua Huang

Legal reasoning requires both precise interpretation of statutory language and consistent application of complex rules, presenting significant challenges for AI systems. This paper introduces a modular multi-agent framework that decomposes…

Artificial Intelligence · Computer Science 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

Tableaux originate as a decision method for a logical language. They can also be extended to obtain a structure that spells out all the information in a set of sentences in terms of truth value assignments to atomic formulas that appear in…

cmp-lg · Computer Science 2008-02-03 Pablo Gervas

Logical rules are a popular knowledge representation language in many domains, representing background knowledge and encoding information that can be derived from given facts in a compact form. However, rule formulation is a complex process…

Artificial Intelligence · Computer Science 2020-02-13 Cristina Cornelio , Veronika Thost

ReAct-style agents for search-intensive, multi-step reasoning tasks rely largely on their own internal judgment to decide what evidence to seek, which reasoning or action step to take next, and when to stop, often producing shallow,…

Artificial Intelligence · Computer Science 2026-05-25 Jiazheng Kang , Bowen Zhang , Zixin Song , Jiangwang Chen , Xiao Yang , Da Zhu , Guanjun Jiang

Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins