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We present a logic named L_{LF} whose intended use is to formalize properties of specifications developed in the dependently typed lambda calculus LF. The logic is parameterized by the LF signature that constitutes the specification. Atomic…

Logic in Computer Science · Computer Science 2022-04-12 Gopalan Nadathur , Mary Southern

This paper describes a new technique, called "knowledge patterns", for helping construct axiom-rich, formal ontologies, based on identifying and explicitly representing recurring patterns of knowledge (theory schemata) in the ontology, and…

Artificial Intelligence · Computer Science 2020-05-12 Peter Clark , John Thompson , Bruce Porter

We propose a novel framework, Meta Chain-of-Thought (Meta-CoT), which extends traditional Chain-of-Thought (CoT) by explicitly modeling the underlying reasoning required to arrive at a particular CoT. We present empirical evidence from…

We introduce a framework that allows for the construction of sequent systems for expressive description logics extending ALC. Our framework not only covers a wide array of common description logics, but also allows for sequent systems to be…

Logic in Computer Science · Computer Science 2022-06-22 Tim Lyon , Jonas Karge

This paper develops an algorithmic-based approach for proving inductive properties of propositional sequent systems such as admissibility, invertibility, cut-elimination, and identity expansion. Although undecidable in general, these…

Logic in Computer Science · Computer Science 2021-01-11 Carlos Olarte , Elaine Pimentel , Camilo Rocha

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

Competency Questions (CQs) are a cornerstone of requirement elicitation in ontology engineering. CQs represent requirements as a set of natural language questions that an ontology should satisfy; they are traditionally modelled by ontology…

Artificial Intelligence · Computer Science 2026-04-20 Reham Alharbi , Valentina Tamma , Terry R. Payne , Jacopo de Berardinis

Most approaches for repairing description logic (DL) ontologies aim at changing the axioms as little as possible while solving inconsistencies, incoherences and other types of undesired behaviours. As in Belief Change, these issues are…

Logic in Computer Science · Computer Science 2022-02-22 Jandson S. Ribeiro , Ricardo Guimarães , Ana Ozaki

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

The advent of large language models (LLMs) has unlocked great opportunities in complex data management tasks, particularly in question answering (QA) over complicated multi-table relational data. Despite significant progress, systematically…

Artificial Intelligence · Computer Science 2024-12-02 Zipeng Qiu , You Peng , Guangxin He , Binhang Yuan , Chen Wang

In ontology-mediated query answering, access to incomplete data sources is mediated by a conceptual layer constituted by an ontology, which can be formulated in a description logic (DL) or using existential rules. In the literature, there…

Logic in Computer Science · Computer Science 2022-08-31 Christian Alrabbaa , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Ontology-based query answering (OBQA) augments classical query answering in databases by domain knowledge encoded in an ontology. Systems for OBQA use the ontological knowledge to infer new information that is not explicitly given in the…

Logic in Computer Science · Computer Science 2020-03-24 Stefan Borgwardt , Veronika Thost

Explainable AI is an emerging field providing solutions for acquiring insights into automated systems' rationale. It has been put on the AI map by suggesting ways to tackle key ethical and societal issues. Existing explanation techniques…

Machine Learning · Computer Science 2022-05-02 Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Explainability has been a goal for Artificial Intelligence (AI) systems since their conception, with the need for explainability growing as more complex AI models are increasingly used in critical, high-stakes settings such as healthcare.…

Artificial Intelligence · Computer Science 2020-10-06 Shruthi Chari , Oshani Seneviratne , Daniel M. Gruen , Morgan A. Foreman , Amar K. Das , Deborah L. McGuinness

Large language models (LLMs) have proven to be highly effective for solving complex reasoning tasks. Surprisingly, their capabilities can often be improved by iterating on previously generated solutions. In this context, a reasoning plan…

Artificial Intelligence · Computer Science 2025-12-05 MohammadHossein Bateni , Vincent Cohen-Addad , Yuzhou Gu , Silvio Lattanzi , Simon Meierhans , Christopher Mohri

Ontologies are useful for automatic machine processing of domain knowledge as they represent it in a structured format. Yet, constructing ontologies requires substantial manual effort. To automate part of this process, large language models…

Machine Learning · Computer Science 2024-11-01 Andy Lo , Albert Q. Jiang , Wenda Li , Mateja Jamnik

While large language models (LLMs) have demonstrated impressive capabilities across various natural language processing tasks by acquiring rich factual knowledge from their broad training data, their ability to synthesize and logically…

Computation and Language · Computer Science 2024-07-31 Tianshi Zheng , Jiaxin Bai , Yicheng Wang , Tianqing Fang , Yue Guo , Yauwai Yim , Yangqiu Song

The ability to reason with and integrate different sensory inputs is the foundation underpinning human intelligence and it is the reason for the growing interest in modelling multi-modal information within Knowledge Graphs. Multi-Modal…

Artificial Intelligence · Computer Science 2024-10-18 Gianluca Apriceno , Valentina Tamma , Tania Bailoni , Jacopo de Berardinis , Mauro Dragoni

Description logics are knowledge representation languages that have been designed to strike a balance between expressivity and computational tractability. Many different description logics have been developed, and numerous computational…

Logic in Computer Science · Computer Science 2018-08-14 Ronald de Haan

Large Language Models (LLMs) are versatile, yet they often falter in tasks requiring deep and reliable reasoning due to issues like hallucinations, limiting their applicability in critical scenarios. This paper introduces a rigorously…

Computation and Language · Computer Science 2023-11-21 Saizhuo Wang , Zhihan Liu , Zhaoran Wang , Jian Guo