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Legal mathematical reasoning is essential for applying large language models (LLMs) in high-stakes legal contexts, where outputs must be both mathematically accurate and procedurally compliant. However, existing legal LLMs lack structured…

Computation and Language · Computer Science 2025-06-10 Kepu Zhang , Guofu Xie , Weijie Yu , Mingyue Xu , Xu Tang , Yaxin Li , Jun Xu

We focus on the task of reasoning over paragraph effects in situation, which requires a model to understand the cause and effect described in a background paragraph, and apply the knowledge to a novel situation. Existing works ignore the…

Computation and Language · Computer Science 2020-10-06 Mucheng Ren , Xiubo Geng , Tao Qin , Heyan Huang , Daxin Jiang

Rule-based reasoning, a fundamental type of legal reasoning, enables us to draw conclusions by accurately applying a rule to a set of facts. We explore causal language models as rule-based reasoners, specifically with respect to…

Computation and Language · Computer Science 2024-02-26 Sergio Servantez , Joe Barrow , Kristian Hammond , Rajiv Jain

Court judgments reveal how legal rules have been interpreted and applied to facts, providing a foundation for understanding structured legal reasoning. However, existing automated approaches for capturing legal reasoning, including large…

Computation and Language · Computer Science 2025-11-04 Ryoma Kondo , Riona Matsuoka , Takahiro Yoshida , Kazuyuki Yamasawa , Ryohei Hisano

Causality is vital for understanding true cause-and-effect relationships between variables within predictive models, rather than relying on mere correlations, making it highly relevant in the field of Explainable AI. In an automated…

Machine Learning · Computer Science 2024-08-28 Arturo Fredes , Jordi Vitria

A simple framework for reasoning under uncertainty and intervention is introduced. This is achieved in three steps. First, logic is restated in set-theoretic terms to obtain a framework for reasoning under certainty. Second, this framework…

Statistics Theory · Mathematics 2010-08-18 Pedro A. Ortega

Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by sets of arguments (extensions) and conditions on the…

Artificial Intelligence · Computer Science 2025-05-19 Johannes Fichte , Nicolas Fröhlich , Markus Hecher , Victor Lagerkvist , Yasir Mahmood , Arne Meier , Jonathan Persson

Legislation can be viewed as a body of prescriptive rules expressed in natural language. The application of legislation to facts of a case we refer to as statutory reasoning, where those facts are also expressed in natural language.…

Computation and Language · Computer Science 2020-08-13 Nils Holzenberger , Andrew Blair-Stanek , Benjamin Van Durme

It is well recognised that ensuring fair AI systems is a complex sociotechnical challenge, which requires careful deliberation and continuous oversight across all stages of a system's lifecycle, from defining requirements to model…

Human-Computer Interaction · Computer Science 2025-05-14 Alpay Sabuncuoglu , Christopher Burr , Carsten Maple

The paper describes an extension of well-founded semantics for logic programs with two types of negation. In this extension information about preferences between rules can be expressed in the logical language and derived dynamically. This…

Artificial Intelligence · Computer Science 2008-02-03 G. Brewka

Strategic reasoning enables agents to cooperate, communicate, and compete with other agents in diverse situations. Existing approaches to solving strategic games rely on extensive training, yielding strategies that do not generalize to new…

Artificial Intelligence · Computer Science 2023-05-31 Kanishk Gandhi , Dorsa Sadigh , Noah D. Goodman

Legal texts routinely use concepts that are difficult to understand. Lawyers elaborate on the meaning of such concepts by, among other things, carefully investigating how have they been used in past. Finding text snippets that mention a…

Computation and Language · Computer Science 2021-12-15 Jaromir Savelka , Kevin D. Ashley

Algorithms play a crucial role in many technological systems that control or affect various aspects of our lives. As a result, providing explanations for their decisions to address the needs of users and organisations is increasingly…

Software Engineering · Computer Science 2023-05-29 Trung Dong Huynh , Niko Tsakalakis , Ayah Helal , Sophie Stalla-Bourdillon , Luc Moreau

Against the backdrop of rapid advances in artificial intelligence, legal argument mining has emerged as an important research area linking legal texts with intelligent analysis, carrying significant theoretical and practical implications.…

Computation and Language · Computer Science 2026-05-05 Xianglei Liao , Chuanyi Li , Kun Chen

Process mining is widely used to diagnose processes and uncover performance and compliance problems. It is also possible to see relations between different behavioral aspects, e.g., cases that deviate more at the beginning of the process…

Artificial Intelligence · Computer Science 2021-12-23 Mahnaz Sadat Qafari , Wil van der Aalst

We propose a categorical framework to reason about scientific explanations: descriptions of a phenomenon meant to translate it into simpler terms, or into a context that has been already understood. Our motivating examples come from systems…

Logic in Computer Science · Computer Science 2023-08-01 Leo Lobski , Fabio Zanasi

When reasoning in description, modal or temporal logics it is often useful to consider axioms representing universal truths in the domain of discourse. Reasoning with respect to an arbitrary set of axioms is hard, even for relatively…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Stephan Tobies

Statutory reasoning refers to the application of legislative provisions to a series of case facts described in natural language. We re-frame statutory reasoning as an analogy task, where each instance of the analogy task involves a…

Computation and Language · Computer Science 2024-01-15 Xinrui Zou , Ming Zhang , Nathaniel Weir , Benjamin Van Durme , Nils Holzenberger

Case-based reasoning is a cornerstone of U.S. legal practice, requiring professionals to argue about a current case by drawing analogies to and distinguishing from past precedents. While Large Language Models (LLMs) have shown remarkable…

Computation and Language · Computer Science 2026-01-21 Li Zhang , Matthias Grabmair , Morgan Gray , Kevin Ashley

Causal reasoning is essential for business process interventions and improvement, requiring a clear understanding of causal relationships among activity execution times in an event log. Recent work introduced a method for discovering causal…

Artificial Intelligence · Computer Science 2025-05-30 Yuval David , Fabiana Fournier , Lior Limonad , Inna Skarbovsky