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The paper proposes to treat agent awareness as a form of knowledge, breaking the tradition in the existing literature on awareness. It distinguishes the de re and de dicto forms of such knowledge. The work introduces two modalities…

Artificial Intelligence · Computer Science 2025-11-11 Pavel Naumov , Alexandra Pavlova

While there have been many attempts, going back to BAN logic, to base reasoning about security protocols on epistemic notions, they have not been all that successful. Arguably, this has been due to the particular logics chosen. We present a…

Cryptography and Security · Computer Science 2017-07-28 Joseph Y. Halpern , Ron van der Meyden , Riccardo Pucella

We cast aspects of consciousness in axiomatic mathematical terms, using the graphical calculus of general process theories (a.k.a symmetric monoidal categories and Frobenius algebras therein). This calculus exploits the ontological…

Neurons and Cognition · Quantitative Biology 2021-07-01 Camilo Miguel Signorelli , Quanlong Wang , Bob Coecke

We establish a novel connection between two research areas in non-classical logics which have been developed independently of each other so far: on the one hand, input/output logic, introduced within a research program developing logical…

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to…

Logic in Computer Science · Computer Science 2025-12-09 Baltag Alexandru , Smets Sonja

The pursuit of interpretable artificial intelligence has led to significant advancements in the development of methods that aim to explain the decision-making processes of complex models, such as deep learning systems. Among these methods,…

Machine Learning · Computer Science 2024-10-29 Yihao Zhang

This paper proposes a formal framework for modeling the interaction of causal and (qualitative) epistemic reasoning. To this purpose, we extend the notion of a causal model with a representation of the epistemic state of an agent. On the…

Artificial Intelligence · Computer Science 2020-11-02 Fausto Barbero , Katrin Schulz , Sonja Smets , Fernando R. Velázquez-Quesada , Kaibo Xie

In order to meet the diverse challenges in solving many real-world problems, an intelligent agent has to be able to dynamically construct a model of its environment. Objects facilitate the modular reuse of prior knowledge and the…

Machine Learning · Computer Science 2019-06-05 Sjoerd van Steenkiste , Klaus Greff , Jürgen Schmidhuber

In this paper, we present a preliminary work on an approach to fill the gap between logic-based argumentation and the numerous approaches to tackle the dynamics of abstract argumentation frameworks. Our idea is that, even when arguments and…

Artificial Intelligence · Computer Science 2016-03-30 Jean-Guy Mailly

We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modeled as reasoning in accordance with a relevant modal logic while the propositional fragment…

Logic in Computer Science · Computer Science 2022-06-08 Igor Sedlár , Pietro Vigiani

Planning in interactive environments is challenging under partial observability: task-critical preconditions (e.g., object locations or container states) may be unknown at decision time, yet grounding them through interaction is costly.…

Artificial Intelligence · Computer Science 2026-02-05 Shuhui Qu

In this paper, we propose a single-agent modal logic framework for reasoning about goal-direct "knowing how" based on ideas from linguistics, philosophy, modal logic and automated planning. We first define a modal language to express "I…

Artificial Intelligence · Computer Science 2015-07-10 Yanjing Wang

Spatial aspects of computation are becoming increasingly relevant in Computer Science, especially in the field of collective adaptive systems and when dealing with systems distributed in physical space. Traditional formal verification…

Logic in Computer Science · Computer Science 2019-03-14 Vincenzo Ciancia , Diego Latella , Michele Loreti , Mieke Massink

Non-classical negations may fail to be contradictory-forming operators in more than one way, and they often fail also to respect fundamental meta-logical properties such as the replacement property. Such drawbacks are witnessed by intricate…

Logic in Computer Science · Computer Science 2017-07-26 Ori Lahav , João Marcos , Yoni Zohar

The increasing incorporation of Artificial Intelligence in the form of automated systems into decision-making procedures highlights not only the importance of decision theory for automated systems but also the need for these decision…

Artificial Intelligence · Computer Science 2018-08-23 Tarek R. Besold , Sara L. Uckelman

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

Condensed Matter · Physics 2007-05-23 Leticia F. Cugliandolo

Combined modeling and verification of dynamic systems and the data they operate on has gained momentum in AI and in several application domains. We investigate the expressive yet concise framework of data-aware dynamic systems (DDS),…

Logic in Computer Science · Computer Science 2022-03-16 Paolo Felli , Marco Montali , Sarah Winkler

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2022-12-12 Christoph Benzmüller , Sebastian Reiche

We define a modular multi-concept extension of the lexicographic closure semantics for defeasible description logics with typicality. The idea is that of distributing the defeasible properties of concepts into different modules, according…

Artificial Intelligence · Computer Science 2020-09-07 Laura Giordano , Daniele Theseider Dupré
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