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Case-based reasoning (CBR) based on description logics (DLs) has gained a lot of attention lately. Adaptation is a basic task in the CBR inference that can be modeled as the knowledge base revision problem and solved in propositional logic.…

Artificial Intelligence · Computer Science 2014-05-19 Liang Chang , Uli Sattler , Tianlong Gu

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

Reasoning on defeasible knowledge is a topic of interest in the area of description logics, as it is related to the need of representing exceptional instances in knowledge bases. In this direction, in our previous works we presented a…

Artificial Intelligence · Computer Science 2021-08-10 Loris Bozzato , Thomas Eiter , Luciano Serafini

Present practice of deciding on regulation faces numerous problems that make adopted regulations static, unexplained, unduly influenced by powerful interest groups, and stained with a perception of illegitimacy. These well-known problems…

Computers and Society · Computer Science 2026-04-02 Thomas Hofweber , Andreas Sudmann , Evangelos Pournaras

In this paper, we take first steps toward developing defeasible reasoning on concepts in KLM framework. We define generalizations of cumulative reasoning system C and cumulative reasoning system with loop CL to conceptual setting. We also…

Artificial Intelligence · Computer Science 2024-09-10 Yiwen Ding , Krishna Manoorkar , Ni Wayan Switrayni , Ruoding Wang

This paper presents a new system of logic, LF, that is intended to be used as the foundation of the formalization of science. That is, deductive validity according to LF is to be used as the criterion for assessing what follows from the…

Logic · Mathematics 2024-01-23 Zachary Goodsell , Juhani Yli-Vakkuri

We consider an extension of linear-time temporal logic (LTL) with both local and remote data constraints interpreted over a concrete domain. This extension is a natural extension of constraint LTL and the Temporal Logic of Repeating Values,…

Logic in Computer Science · Computer Science 2022-06-06 Ashwin Bhaskar

In this paper a conditional logic is defined and studied. This conditional logic, Deterministic Bayesian Logic, is constructed as a deterministic counterpart to the (probabilistic) Bayesian conditional. The logic is unrestricted, so that…

Logic in Computer Science · Computer Science 2011-11-09 Frederic Dambreville

Logic-based approaches to AI have the advantage that their behaviour can in principle be explained by providing their users with proofs for the derived consequences. However, if such proofs get very large, then it may be hard to understand…

Logic in Computer Science · Computer Science 2020-05-29 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Non-normal modal logics, interpreted on neighbourhood models which generalise the usual relational semantics, have found application in several areas, such as epistemic, deontic, and coalitional reasoning. We present here preliminary…

Logic in Computer Science · Computer Science 2022-07-04 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki

A central quest in explainable AI relates to understanding the decisions made by (learned) classifiers. There are three dimensions of this understanding that have been receiving significant attention in recent years. The first dimension…

Artificial Intelligence · Computer Science 2023-05-10 Adnan Darwiche

We present a new temporal logic called Distribution Temporal Logic (DTL) defined over predicates of belief states and hidden states of partially observable systems. DTL can express properties involving uncertainty and likelihood that cannot…

Systems and Control · Computer Science 2013-10-31 Austin Jones , Mac Schwager , Calin Belta

Description Logics (DLs) are used in knowledge-based systems to represent and reason about terminological knowledge of the application domain in a semantically well-defined manner. In this thesis, we establish a number of novel complexity…

Logic in Computer Science · Computer Science 2007-05-23 Stephan Tobies

Explainability is highly-desired in Machine Learning (ML) systems supporting high-stakes policy decisions in areas such as health, criminal justice, education, and employment. While the field of explainable ML has expanded in recent years,…

Machine Learning · Computer Science 2023-02-21 Kasun Amarasinghe , Kit Rodolfa , Hemank Lamba , Rayid Ghani

This paper presents an extension of Defeasible Deontic Logic to deal with the Pragmatic Oddity problem. The logic applies three general principles: (1) the Pragmatic Oddity problem must be solved within a general logical treatment of CTD…

Logic in Computer Science · Computer Science 2022-09-13 Guido Governatori , Silvano Colombo Tosatto , Antonino Rotolo

The profusion of knowledge encoded in large language models (LLMs) and their ability to apply this knowledge zero-shot in a range of settings makes them promising candidates for use in decision-making. However, they are currently limited by…

Computation and Language · Computer Science 2026-05-08 Gabriel Freedman , Adam Dejl , Deniz Gorur , Xiang Yin , Antonio Rago , Francesca Toni

(Maher 2012) introduced an approach for relative expressiveness of defeasible logics, and two notions of relative expressiveness were investigated. Using the first of these definitions of relative expressiveness, we show that all the…

Logic in Computer Science · Computer Science 2024-05-15 Michael J. Maher

Legal judgment prediction is essential for enhancing judicial efficiency. In this work, we identify that existing large language models (LLMs) underperform in this domain due to challenges in understanding case complexities and…

Computation and Language · Computer Science 2024-08-07 Chenlong Deng , Kelong Mao , Yuyao Zhang , Zhicheng Dou

The increasing availability of large collections of electronic health record (EHR) data and unprecedented technical advances in deep learning (DL) have sparked a surge of research interest in developing DL based clinical decision support…

Machine Learning · Computer Science 2021-12-07 Di Jin , Elena Sergeeva , Wei-Hung Weng , Geeticka Chauhan , Peter Szolovits

In this paper syntactic objects---concept constructors called part restrictions which realize rational grading are considered in Description Logics (DLs). Being able to convey statements about a rational part of a set of successors, part…

Logic in Computer Science · Computer Science 2019-05-27 Mitko Yanchev