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In this work, we show that both logic programming and abstract argumentation frameworks can be interpreted in terms of Nelson's constructive logic N4. We do so by formalizing, in this logic, two principles that we call non-contradictory…

Artificial Intelligence · Computer Science 2022-03-29 Jorge Fandinno , Luis Fariñas del Cerro

In this paper, we present an alternative interpretation of propositional inquisitive logic as an epistemic logic of knowing how. In our setting, an inquisitive logic formula $\alpha$ being supported by a state is formalized as "knowing how…

Logic · Mathematics 2022-06-06 Haoyu Wang , Yanjing Wang , Yunsong Wang

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

Artificial Intelligence · Computer Science 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

This paper combines two studies: a topological semantics for epistemic notions and abstract argumentation theory. In our combined setting, we use a topological semantics to represent the structure of an agent's collection of evidence, and…

Artificial Intelligence · Computer Science 2017-07-28 Chenwei Shi , Sonja Smets , Fernando R. Velázquez-Quesada

Modal dependence logics are modal logics defined on the basis of team semantics and have the downward closure property. In this paper, we introduce sound and complete deduction systems for the major modal dependence logics, especially those…

Logic · Mathematics 2018-12-19 Fan Yang

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

A conceptual system with rich connotation is key to improving the performance of knowledge-based artificial intelligence systems. While a conceptual system, which has abundant concepts and rich semantic relationships, and is developable,…

Artificial Intelligence · Computer Science 2020-11-30 Hui Wei

We propose a framework for probability aggregation based on propositional probability logic. Unlike conventional judgment aggregation, which focuses on static rationality, our model addresses dynamic rationality by ensuring that collective…

Artificial Intelligence · Computer Science 2025-08-27 Polina Gordienko , Christoph Jansen , Thomas Augustin , Martin Rechenauer

Much artificial intelligence research focuses on the problem of deducing the validity of unobservable propositions or hypotheses from observable evidence.! Many of the knowledge representation techniques designed for this problem encode the…

Artificial Intelligence · Computer Science 2013-04-12 Ross D. Shachter , David Heckerman

A general dynamical process model of psychiatric disorders is proposed that specifies the basic cognitive processes involved in the transition from beliefs about self, others and world that are normal and adaptive, to beliefs that are…

Adaptation and Self-Organizing Systems · Physics 2013-09-24 Brian P. O'Connor , Liane Gabora

Abductive reasoning - the search for plausible explanations - has long been central to human inquiry, from forensics to medicine and scientific discovery. Yet formal approaches in AI have largely reduced abduction to eliminative search:…

Artificial Intelligence · Computer Science 2025-12-23 Remo Pareschi

There is a generic way to add any new feature to a system. It involves 1) identifying the basic units which build up the system and 2) introducing the new feature to each of these basic units. In the case where the system is argumentation…

Artificial Intelligence · Computer Science 2015-03-19 D. M. Gabbay , O. Rodrigues

The universal dynamic uncertainty, discovered in Parts I and II of this series of papers for the case of Hamiltonian quantum systems, is further specified to reveal the hierarchical structure of levels of dynamically redundant…

Quantum Physics · Physics 2008-02-03 Andrei P. Kirilyuk

Knowledge-based programs specify multi-agent protocols with epistemic guards that abstract from how agents learn and record facts or information about other agents and the environment. Their interpretation involves a non-monotone mutual…

Programming Languages · Computer Science 2023-01-27 Alexander Knapp , Heribert Mühlberger , Bernhard Reus

Argumentation frameworks, consisting of arguments and an attack relation representing conflicts, are fundamental for formally studying reasoning under conflicting information. We use methods from mathematical logic, specifically…

Artificial Intelligence · Computer Science 2025-12-01 Uri Andrews , Luca San Mauro

Explainable artificial intelligence and interpretable machine learning are research domains growing in importance. Yet, the underlying concepts remain somewhat elusive and lack generally agreed definitions. While recent inspiration from…

Artificial Intelligence · Computer Science 2022-09-12 Kacper Sokol , Peter Flach

Abductive reasoning in knowledge graphs aims to generate plausible logical hypotheses from observed entities, with broad applications in areas such as clinical diagnosis and scientific discovery. However, due to a lack of controllability, a…

Artificial Intelligence · Computer Science 2026-05-04 Yisen Gao , Jiaxin Bai , Tianshi Zheng , Qingyun Sun , Ziwei Zhang , Xingcheng Fu , Jianxin Li , Yangqiu Song

We introduce and characterize inertial updating of beliefs. Under inertial updating, a decision maker (DM) chooses a belief that minimizes the subjective distance between their prior belief and the set of beliefs consistent with the…

Theoretical Economics · Economics 2023-03-21 Adam Dominiak , Matthew Kovach , Gerelt Tserenjigmid

Entropic Dynamics is a framework in which dynamical laws are derived as an application of entropic methods of inference. No underlying action principle is postulated. Instead, the dynamics is driven by entropy subject to the constraints…

Quantum Physics · Physics 2015-09-11 Ariel Caticha

Abduction is the task of computing a sufficient extension of a knowledge base (KB) that entails a conclusion not entailed by the original KB. It serves to compute explanations, or hypotheses, for such missing entailments. While this task…

Logic in Computer Science · Computer Science 2025-07-30 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan