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We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of concept combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC TR, whose semantics is based on the…

Artificial Intelligence · Computer Science 2019-08-13 Antonio Lieto , Gian Luca Pozzato

Logics for knowledge representation suffer from over-specialization: while each logic may provide an ideal representation formalism for some problems, it is less than optimal for others. A solution to this problem is to choose from several…

Artificial Intelligence · Computer Science 2007-05-23 G. Antoniou , D. Billigton , G. Governatori , M. J. Maher

One of the main reasons to employ a description logic such as EL or EL++ is the fact that it has efficient, polynomial-time algorithmic properties such as deciding consistency and inferring subsumption. However, simply by adding negation of…

Logic in Computer Science · Computer Science 2019-08-29 Marcelo Finger

Terminological knowledge representation systems (TKRSs) are tools for designing and using knowledge bases that make use of terminological languages (or concept languages). We analyze from a theoretical point of view a TKRS whose…

Artificial Intelligence · Computer Science 2014-11-17 M. Buchheit , F. M. Donini , A. Schaerf

Description Logics are knowledge representation formalisms which have been used in a wide range of application domains. Owing to their appealing expressiveness, we consider in this paper extensions of the well-known concept language ALC…

Logic in Computer Science · Computer Science 2007-05-23 Fabio Grandi

This paper introduces an explanation framework designed to enhance the quality of rules in knowledge-based reasoning systems based on dataset-driven insights. The traditional method for rule induction from data typically requires…

Artificial Intelligence · Computer Science 2025-02-04 Oshani Seneviratne , Brendan Capuzzo , William Van Woensel

As deep neural models in NLP become more complex, and as a consequence opaque, the necessity to interpret them becomes greater. A burgeoning interest has emerged in rationalizing explanations to provide short and coherent justifications for…

Computation and Language · Computer Science 2024-05-21 Neema Kotonya , Francesca Toni

Explainability has been an important goal since the early days of Artificial Intelligence. Several approaches for producing explanations have been developed. However, many of these approaches were tightly coupled with the capabilities of…

Artificial Intelligence · Computer Science 2020-03-20 Shruthi Chari , Daniel M. Gruen , Oshani Seneviratne , Deborah L. McGuinness

This study investigates an explainable reasoning method for financial decision-making based on knowledge-enhanced large language model agents. To address the limitations of traditional financial decision methods that rely on parameterized…

Computation and Language · Computer Science 2025-12-11 Qingyuan Zhang , Yuxi Wang , Cancan Hua , Yulin Huang , Ning Lyu

We describe a mathematical structure that can give extensional denotational semantics to higher-order probabilistic programs. It is not limited to discrete probabilities, and it is compatible with integration in a way the models that have…

Logic in Computer Science · Computer Science 2021-04-14 Guillaume Geoffroy

This paper outlines a general formal framework for reasoning systems, intended to support future analysis of inference architectures across domains. We model reasoning systems as structured tuples comprising phenomena, explanation space,…

Artificial Intelligence · Computer Science 2025-08-05 Saleh Nikooroo , Thomas Engel

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

Logical reasoning is central to human cognition and intelligence. It includes deductive, inductive, and abductive reasoning. Past research of logical reasoning within AI uses formal language as knowledge representation and symbolic…

Computation and Language · Computer Science 2024-02-19 Zonglin Yang , Xinya Du , Rui Mao , Jinjie Ni , Erik Cambria

Default logic can be regarded as a mechanism to represent families of belief sets of a reasoning agent. As such, it is inherently second-order. In this paper, we study the problem of representability of a family of theories as the set of…

Logic in Computer Science · Computer Science 2007-05-23 Victor Marek , Jan Treur , Miroslaw Truszczynski

In explanations, explainers have mental representations of explainees' developing knowledge and shifting interests regarding the explanandum. These mental representations are dynamic in nature and develop over time, thereby enabling…

Artificial Intelligence · Computer Science 2024-11-14 Michael Erol Schaffer , Lutz Terfloth , Carsten Schulte , Heike M. Buhl

Ontologies and automated reasoning are the building blocks of the Semantic Web initiative. Derivation rules can be included in an ontology to define derived concepts, based on base concepts. For example, rules allow to define the extension…

Artificial Intelligence · Computer Science 2011-11-02 Anastasia Analyti , Grigoris Antoniou , Carlos Viegas Damásio , Gerd Wagner

With the rise of knowledge management and knowledge economy, the knowledge elements that directly link and embody the knowledge system have become the research focus and hotspot in certain areas. The existing knowledge element…

Logic in Computer Science · Computer Science 2019-04-17 Bin Wen , Jianhou Gan , Juan L. G. Guirao , Wei Gao

We present a new approach to integrating deep learning with knowledge-based systems that we believe shows promise. Our approach seeks to emulate reasoning structure, which can be inspected part-way through, rather than simply learning…

Artificial Intelligence · Computer Science 2019-12-12 Aaron Eberhart , Monireh Ebrahimi , Lu Zhou , Cogan Shimizu , Pascal Hitzler

Many NLP applications require models to be interpretable. However, many successful neural architectures, including transformers, still lack effective interpretation methods. A possible solution could rely on building explanations from…

Computation and Language · Computer Science 2024-04-04 Federico Ruggeri , Marco Lippi , Paolo Torroni

Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

Artificial Intelligence · Computer Science 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl