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Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be…

Applications · Statistics 2020-01-31 Martin Neil , Norman Fenton , David Lagnado , Richard D. Gill

Legal decisions should be logical and based on statutory laws. While large language models(LLMs) are good at understanding legal text, they cannot provide verifiable justifications. We present L4L, a solver-centric framework that enforces…

Artificial Intelligence · Computer Science 2026-03-06 Linze Chen , Yufan Cai , Zhe Hou , Jin Song Dong

A detailed exposition of foundations of a logic-algebraic model for reasoning with knowledge bases specified by propositional (Boolean) logic is presented. The model is conceived from the logical translation of usual derivatives on…

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

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

In the context of the Competition on Legal Information Extraction/Entailment (COLIEE), we propose a method comprising the necessary steps for finding relevant documents to a legal question and deciding on textual entailment evidence to…

Information Retrieval · Computer Science 2016-09-06 Danilo S. Carvalho , Minh-Tien Nguyen , Tran Xuan Chien , Minh Le Nguyen

Large Language Models (LLMs) excel at understanding natural language but struggle with explicit commonsense reasoning. A recent trend of research suggests that the combination of LLM with robust symbolic reasoning systems can overcome this…

Artificial Intelligence · Computer Science 2025-09-23 Manuel Borroto , Katie Gallagher , Antonio Ielo , Irfan Kareem , Francesco Ricca , Alessandra Russo

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic solvers to improve logical…

Computation and Language · Computer Science 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

Reasoning abilities of LLMs have been a key focus in recent years. One challenging reasoning domain with interesting nuances is legal reasoning, which requires careful application of rules, and precedents while balancing deductive and…

Computation and Language · Computer Science 2025-02-11 Venkatesh Mishra , Bimsara Pathiraja , Mihir Parmar , Sat Chidananda , Jayanth Srinivasa , Gaowen Liu , Ali Payani , Chitta Baral

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Supporting learners' understanding of taught skills in online settings is a longstanding challenge. While exercises and chat-based agents can evaluate understanding in limited contexts, this challenge is magnified when learners seek…

Artificial Intelligence · Computer Science 2025-04-11 Rahul K. Dass , Rochan H. Madhusudhana , Erin C. Deye , Shashank Verma , Timothy A. Bydlon , Grace Brazil , Ashok K. Goel

This article discusses the evolving role of artificial intelligence (AI) in the legal profession, focusing on its potential to streamline tasks such as document review, research, and contract drafting. However, challenges persist,…

Artificial Intelligence · Computer Science 2025-03-06 Sidra Nasir , Qamar Abbas , Samita Bai , Rizwan Ahmed Khan

Information extraction (IE) aims to produce structured information from an input text, e.g., Named Entity Recognition and Relation Extraction. Various attempts have been proposed for IE via feature engineering or deep learning. However,…

Computation and Language · Computer Science 2019-12-09 Wenya Wang , Sinno Jialin Pan

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

The paper introduces a knowledge representation language that combines the event calculus with description logic in a logic programming framework. The purpose is to provide the user with an expressive language for modelling and analysing…

Logic in Computer Science · Computer Science 2021-09-13 Peter Baumgartner

The overarching goal of Explainable AI is to develop systems that not only exhibit intelligent behaviours, but also are able to explain their rationale and reveal insights. In explainable machine learning, methods that produce a high level…

Artificial Intelligence · Computer Science 2020-05-06 Xiuyi Fan , Siyuan Liu , Thomas C. Henderson

Large Language Models (LLMs) could struggle to fully understand legal theories and perform complex legal reasoning tasks. In this study, we introduce a challenging task (confusing charge prediction) to better evaluate LLMs' understanding of…

Artificial Intelligence · Computer Science 2024-10-04 Weikang Yuan , Junjie Cao , Zhuoren Jiang , Yangyang Kang , Jun Lin , Kaisong Song , tianqianjin lin , Pengwei Yan , Changlong Sun , Xiaozhong Liu

Large language models (LLMs), in conjunction with various reasoning reinforcement methodologies, have demonstrated remarkable capabilities comparable to humans in fields such as mathematics, law, coding, common sense, and world knowledge.…

Artificial Intelligence · Computer Science 2024-03-28 Chuwen Wang , Shirong Zeng , Cheng Wang

AI systems are increasingly governed by natural language principles, yet a key challenge arising from reliance on language remains underexplored: interpretive ambiguity. As in legal systems, ambiguity arises both from how these principles…

Computation and Language · Computer Science 2025-09-03 Luxi He , Nimra Nadeem , Michel Liao , Howard Chen , Danqi Chen , Mariano-Florentino Cuéllar , Peter Henderson
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