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Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

The assessment of argument quality depends on well-established logical, rhetorical, and dialectical properties that are unavoidably subjective: multiple valid assessments may exist, there is no unequivocal ground truth. This aligns with…

Computation and Language · Computer Science 2025-02-21 Julia Romberg , Maximilian Maurer , Henning Wachsmuth , Gabriella Lapesa

Planning and reasoning about actions and processes, in addition to reasoning about propositions, are important issues in recent logical and computer science studies. The widespread use of actions in everyday life such as IoT, semantic web…

Artificial Intelligence · Computer Science 2024-01-23 Alireza Shahbazi , Seyyed Ahmad Mirsanei , Malikeh Haj Khan Mirzaye Sarraf , Behrouz Minaei Bidgoli

Determining the physically accessible unitary dynamics of a quantum system under finite Hamiltonian resources is a central problem in quantum control and Hamiltonian engineering. Dynamical Lie algebras (DLAs) provide the fundamental link…

Quantum Physics · Physics 2026-03-06 Yanying Liang , Ruibin Xu , Mao-Sheng Li , Haozhen Situ , Zhu-Jun Zheng

We investigate the complexity of satisfiability for finite-variable fragments of propositional dynamic logics. We consider three formalisms belonging to three representative complexity classes, broadly understood,---regular PDL, which is…

Logic in Computer Science · Computer Science 2019-09-16 Mikhail Rybakov , Dmitry Shkatov

Defeasible logics provide several linguistic features to support the expression of defeasible knowledge. There is also a wide variety of such logics, expressing different intuitions about defeasible reasoning. However, the logics can only…

Logic in Computer Science · Computer Science 2021-02-16 Guido Governatori , Michael J. Maher

Explainable Artificial Intelligence and Formal Argumentation have received significant attention in recent years. Argumentation-based systems often lack explainability while supporting decision-making processes. Counterfactual and…

Artificial Intelligence · Computer Science 2024-05-08 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

Textual logical reasoning, especially question-answering (QA) tasks with logical reasoning, requires awareness of particular logical structures. The passage-level logical relations represent entailment or contradiction between propositional…

Computation and Language · Computer Science 2023-04-20 Yinya Huang , Lemao Liu , Kun Xu , Meng Fang , Liang Lin , Xiaodan Liang

When reasoning in description, modal or temporal logics it is often useful to consider axioms representing universal truths in the domain of discourse. Reasoning with respect to an arbitrary set of axioms is hard, even for relatively…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Stephan Tobies

Dynamic Epistemic Logic (DEL) provides a framework for epistemic planning that is capable of representing non-deterministic actions, partial observability, higher-order knowledge and both factual and epistemic change. The high expressivity…

Artificial Intelligence · Computer Science 2023-07-31 Alessandro Burigana , Paolo Felli , Marco Montali

Ethical and explainable artificial intelligence is an interdisciplinary research area involving computer science, philosophy, logic, the social sciences, etc. For an ethical autonomous system, the ability to justify and explain its decision…

Artificial Intelligence · Computer Science 2019-10-22 Beishui Liao , Michael Anderson , Susan Leigh Anderson

A Timed Argumentation Framework (TAF) is a formalism where arguments are only valid for consideration in a given period of time, called availability intervals, which are defined for every individual argument. The original proposal is based…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Maria Laura Cobo , Diego C. Martinez , Guillermo R. Simari

Dynamic Topological Logic ($\mathcal{DTL}$) is a combination of $\mathcal{S}${\em 4}, under its topological interpretation, and the temporal logic $\mathcal{LTL}$ interpreted over the natural numbers. $\mathcal{DTL}$ is used to reason about…

Logic · Mathematics 2016-11-22 David Fernández-Duque

Particularly in the structure of global discourse, coherence plays a pivotal role in human text comprehension and is a hallmark of high-quality text. This is especially true for persuasive texts, where coherent argument structures support…

Computation and Language · Computer Science 2025-02-13 Christopher van Le

In this paper we provide a first analysis of the research questions that arise when dealing with the problem of communicating pieces of formal argumentation through natural language interfaces. It is a generally held opinion that formal…

Artificial Intelligence · Computer Science 2017-06-14 Federico Cerutti , Alice Toniolo , Timothy J. Norman

We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results are formulated in terms of linear matrix inequalities and…

Optimization and Control · Mathematics 2022-10-19 Tobias Holicki , Carsten W. Scherer

This paper investigates the role of dynamic external knowledge integration in improving counter-argument generation using Large Language Models (LLMs). While LLMs have shown promise in argumentative tasks, their tendency to generate…

Computation and Language · Computer Science 2025-06-23 Anar Yeginbergen , Maite Oronoz , Rodrigo Agerri

On the one hand, classical terminological knowledge representation excludes the possibility of handling uncertain concept descriptions involving, e.g., "usually true" concept properties, generalized quantifiers, or exceptions. On the other…

Artificial Intelligence · Computer Science 2013-02-28 Jochen Heinsohn

Argument Mining (AM) helps in automating the extraction of complex argumentative structures such as Argument Components (ACs) like Premise, Claim etc. and Argumentative Relations (ARs) like Support, Attack etc. in an argumentative text. Due…

Computation and Language · Computer Science 2025-10-21 Nilmadhab Das , Vishal Vaibhav , Yash Sunil Choudhary , V. Vijaya Saradhi , Ashish Anand

Applying automated reasoning tools for decision support and analysis in law has the potential to make court decisions more transparent and objective. Since there is often uncertainty about the accuracy and relevance of evidence,…

Artificial Intelligence · Computer Science 2020-09-15 Inga Ibs , Nico Potyka