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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

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

As large language models (LLMs) are increasing integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some…

Computation and Language · Computer Science 2026-04-28 Jason Chan , Robert Gaizauskas , Zhixue Zhao

Although natural language is the default medium for Large Language Models (LLMs), its limited expressive capacity creates a profound bottleneck for complex problem-solving. While recent advancements in AI have relied heavily on scaling,…

Artificial Intelligence · Computer Science 2026-05-13 Zhiqin Yang , Yuhan Liu , Jingwen Fu , Pei Fu , Bo Han , Masashi Sugiyama , Nanning Zheng

Pre-trained large language models (LMs) struggle to perform logical reasoning reliably despite advances in scale and compositionality. In this work, we tackle this challenge through the lens of symbolic programming. We propose DSR-LM, a…

Artificial Intelligence · Computer Science 2023-05-09 Hanlin Zhang , Jiani Huang , Ziyang Li , Mayur Naik , Eric Xing

Large language models (LLMs) have achieved strong performance on medical exam-style tasks, motivating growing interest in their deployment in real-world clinical settings. However, clinical decision-making is inherently safety-critical,…

Computation and Language · Computer Science 2026-04-13 Xiaohan Ren , Chenxiao Fan , Wenyin Ma , Hongliang He , Chongming Gao , Xiaoyan Zhao , Fuli Feng

Large Language Models (LLMs) often exhibit limited logical coherence, mapping premises to conclusions without adherence to explicit inference rules. We propose Proof-Carrying Reasoning with LLMs (PCRLLM), a framework that constrains…

Computation and Language · Computer Science 2025-11-12 Tangrui Li , Pei Wang , Hongzheng Wang Christian Hahm , Matteo Spatola , Justin Shi

AutomationML (AML) enables standardized data exchange in engineering, yet existing recommendations for proper AML modeling are typically formulated as informal and textual constraints. These constraints cannot be validated automatically…

Artificial Intelligence · Computer Science 2025-06-13 Tom Westermann , Aljosha Köcher , Felix Gehlhoff

While the reasoning capabilities of Large Language Models (LLMs) excel in analytical tasks such as mathematics and code generation, their utility for abstractive summarization remains widely assumed but largely unverified. To bridge this…

Computation and Language · Computer Science 2025-12-10 Haohan Yuan , Haopeng Zhang

The paper advocates for LLMs to enhance the accessibility, usage and explainability of rule-based legal systems, contributing to a democratic and stakeholder-oriented view of legal technology. A methodology is developed to explore the…

Artificial Intelligence · Computer Science 2023-11-21 Marco Billi , Alessandro Parenti , Giuseppe Pisano , Marco Sanchi

Logical reasoning is fundamental for humans yet presents a substantial challenge in the domain of Artificial Intelligence. Initially, researchers used Knowledge Representation and Reasoning (KR) systems that did not scale and required…

Computation and Language · Computer Science 2024-04-02 Man Luo , Shrinidhi Kumbhar , Ming shen , Mihir Parmar , Neeraj Varshney , Pratyay Banerjee , Somak Aditya , Chitta Baral

Large language models (LLMs) are powerful AI tools that can generate and comprehend natural language text and other complex information. However, the field lacks a mathematical framework to systematically describe, compare and improve LLMs.…

Machine Learning · Computer Science 2023-11-07 Javier González , Aditya V. Nori

Natural language explanations represent a proxy for evaluating explanation-based and multi-step Natural Language Inference (NLI) models. However, assessing the validity of explanations for NLI is challenging as it typically involves the…

Computation and Language · Computer Science 2024-10-14 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

As large language models (LLMs) perform more difficult tasks, it becomes harder to verify the correctness and safety of their behavior. One approach to help with this issue is to prompt LLMs to externalize their reasoning, e.g., by having…

Encoding legislative text in a formal representation is an important prerequisite to different tasks in the field of AI & Law. For example, rule-based expert systems focused on legislation can support laypeople in understanding how…

Computation and Language · Computer Science 2023-11-10 Samyar Janatian , Hannes Westermann , Jinzhe Tan , Jaromir Savelka , Karim Benyekhlef

Formal logic enables computers to reason in natural language by representing sentences in symbolic forms and applying rules to derive conclusions. However, in what our study characterizes as "rulebreaker" scenarios, this method can lead to…

Computation and Language · Computer Science 2025-08-18 Jason Chan , Robert Gaizauskas , Zhixue Zhao

Normative non-functional requirements specify constraints that a system must observe in order to avoid violations of social, legal, ethical, empathetic, and cultural norms. As these requirements are typically defined by non-technical system…

When LLMs judge moral dilemmas, do they reach different conclusions in different languages, and if so, why? Two factors could drive such differences: the language of the dilemma itself, or the language in which the model reasons. Standard…

Computation and Language · Computer Science 2026-01-16 Nan Li , Bo Kang , Tijl De Bie

This paper establishes the first comprehensive review of Large Language Models (LLMs) applied within the legal domain. It pioneers an innovative dual lens taxonomy that integrates legal reasoning frameworks and professional ontologies to…

Computation and Language · Computer Science 2025-07-11 Peizhang Shao , Linrui Xu , Jinxi Wang , Wei Zhou , Xingyu Wu

Arguments are a fundamental aspect of human reasoning, in which claims are supported, challenged, and weighed against one another. We present an end-to-end large language model (LLM)-based system for reconstructing arguments from natural…

Computation and Language · Computer Science 2026-05-20 Paulo Pirozelli , Victor Hugo Nascimento Rocha , Fabio G. Cozman , Douglas Aldred