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Large Language Models (LLMs) are increasingly used to generate user-tailored summaries, adapting outputs to specific stakeholders. In legal contexts, this raises important questions about motivated reasoning -- how models strategically…

Computation and Language · Computer Science 2025-10-10 Eunjung Cho , Alexander Hoyle , Yoan Hermstrüwer

There has been growing interest in developing accurate models that can also be explained to humans. Unfortunately, if there exist multiple distinct but accurate models for some dataset, current machine learning methods are unlikely to find…

Machine Learning · Computer Science 2018-07-23 Andrew Slavin Ross , Weiwei Pan , Finale Doshi-Velez

There is an increased interest in solving complex constrained problems where part of the input is not given as facts but received as raw sensor data such as images or speech. We will use "visual sudoku" as a prototype problem, where the…

Machine Learning · Computer Science 2020-03-25 Maxime Mulamba , Jayanta Mandi , Rocsildes Canoy , Tias Guns

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

As we increasingly delegate decision-making to algorithms, whether directly or indirectly, important questions emerge in circumstances where those decisions have direct consequences for individual rights and personal opportunities, as well…

Computers and Society · Computer Science 2019-05-01 Teresa Scantamburlo , Andrew Charlesworth , Nello Cristianini

When teaching an elementary logic course to students who have a general scientific background but have never been exposed to logic, we have to face the problem that the notions of deduction rule and of derivation are completely new to them,…

Logic in Computer Science · Computer Science 2016-01-08 Gilles Dowek

Legal Judgment Prediction (LJP) is a pivotal task in legal AI. Existing semantic-enhanced LJP models integrate judicial precedents and legal knowledge for high performance. But they neglect legal reasoning logic, a critical component of…

Artificial Intelligence · Computer Science 2026-03-05 Yue Zhang , Zhiliang Tian , Shicheng Zhou , Haiyang Wang , Wenqing Hou , Yuying Liu , Xuechen Zhao , Minlie Huang , Ye Wang , Bin Zhou

We study the problem of learning probabilistic first-order logical rules for knowledge base reasoning. This learning problem is difficult because it requires learning the parameters in a continuous space as well as the structure in a…

Artificial Intelligence · Computer Science 2017-11-28 Fan Yang , Zhilin Yang , William W. Cohen

In this paper we propose a logic-based, framework inspired by artificial intelligence, but scaled down for practical database and programming applications. Computation in the framework is viewed as the task of generating a sequence of state…

Logic in Computer Science · Computer Science 2014-04-25 Robert Kowalski , Fariba Sadri

We present a description of the PhD thesis which aims to propose a rule-based query answering method for relational data. In this approach we use an additional knowledge which is represented as a set of rules and describes the source data…

Artificial Intelligence · Computer Science 2011-07-12 Jaroslaw Bak

While neural models show remarkable accuracy on individual predictions, their internal beliefs can be inconsistent across examples. In this paper, we formalize such inconsistency as a generalization of prediction error. We propose a…

Artificial Intelligence · Computer Science 2019-09-16 Tao Li , Vivek Gupta , Maitrey Mehta , Vivek Srikumar

We present a preference learning framework for multiple criteria sorting. We consider sorting procedures applying an additive value model with diverse types of marginal value functions (including linear, piecewise-linear, splined, and…

Machine Learning · Computer Science 2019-10-15 Jiapeng Liu , Milosz Kadzinski , Xiuwu Liao , Xiaoxin Mao , Yao Wang

We consider grammar-restricted exact learning of formulas and terms in finite variable logics. We propose a novel and versatile automata-theoretic technique for solving such problems. We first show results for learning formulas that…

Logic in Computer Science · Computer Science 2021-11-15 Paul Krogmeier , P. Madhusudan

We present a unified theory for formal mathematical systems including recursive systems closely related to formal grammars, including the predicate calculus as well as a formal induction principle. We introduce recursive systems generating…

Logic · Mathematics 2021-12-21 Matthias Kunik

In this paper, we investigate how language models can perform case-based reasoning (CBR) on non-factorized case bases. We introduce a novel framework, argumentative agentic models for case-based reasoning (AAM-CBR), which extends abstract…

Logic in Computer Science · Computer Science 2025-12-16 Wachara Fungwacharakorn , May Myo Zin , Ha-Thanh Nguyen , Yuntao Kong , Ken Satoh

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

In regions that practice common law, relevant historical cases are essential references for sentencing. To help legal practitioners find previous judgement easier, this paper aims to label each court judgement by some tags. These tags are…

Information Retrieval · Computer Science 2022-08-16 Yuchen Liu

Formalisms for specifying statistical models, such as probabilistic-programming languages, typically consist of two components: a specification of a stochastic process (the prior), and a specification of observations that restrict the…

Databases · Computer Science 2015-01-06 Vince Barany , Balder ten Cate , Benny Kimelfeld , Dan Olteanu , Zografoula Vagena

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

We bring forward a logical system of transition algebras that enhances many-sorted first-order logic using features from dynamic logics. The sentences we consider include compositions, unions, and transitive closures of transition…

Logic in Computer Science · Computer Science 2024-04-26 Hashimoto Go , Daniel Găină , Ionuţ Ţuţu
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