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The standard semantics of multi-agent epistemic logic S5 is based on Kripke models whose accessibility relations are reflexive, symmetric and transitive. This one dimensional structure contains implicit higher-dimensional information beyond…

Logic in Computer Science · Computer Science 2022-11-10 Éric Goubault , Jérémy Ledent , Sergio Rajsbaum

Though a lot of work in multi-agent systems is focused on reasoning about knowledge and beliefs of artificial agents, an explicit representation and reasoning about the presence/absence of agents, especially in the scenarios where agents…

Multiagent Systems · Computer Science 2020-01-23 Shikha Singh , Deepak Khemani

In recent years, a new class of models for multi-agent epistemic logic has emerged, based on simplicial complexes. Since then, many variants of these simplicial models have been investigated, giving rise to different logics and…

Logic in Computer Science · Computer Science 2023-04-27 Eric Goubault , Roman Kniazev , Jérémy Ledent , Sergio Rajsbaum

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

The usual epistemic S5 model for multi-agent systems is a Kripke graph, whose edges are labeled with the agents that do not distinguish between two states. We propose to uncover the higher dimensional information implicit in the Kripke…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-05 Eric Goubault , Sergio Rajsbaum

In autonomic computing, self-adaptation has been proposed as a fundamental paradigm to manage the complexity of multiagent systems (MASs). This achieved by extending a system with support to monitor and adapt itself to achieve specific…

Multiagent Systems · Computer Science 2023-07-13 Nathalia Nascimento , Paulo Alencar , Donald Cowan

We propose a many-sorted modal logic for reasoning about knowledge in multi-agent systems. Our logic introduces a clear distinction between participating agents and the environment. This allows to express local properties of agents and…

Logic in Computer Science · Computer Science 2023-08-02 Eric Goubault , Roman Kniazev , Jérémy Ledent

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

The usual epistemic model S5n for a multi-agent system is based on a Kripke frame, which is a graph whose edges are labeled with agents that do not distinguish between two states. We propose to uncover the higher dimensional information…

Logic in Computer Science · Computer Science 2018-09-11 Éric Goubault , Jérémy Ledent , Sergio Rajsbaum

The usual semantics of multi-agent epistemic logic is based on Kripke models, defined in terms of binary relations on a set of possible worlds. Recently, there has been a growing interest in using simplicial complexes rather than graphs, as…

Logic in Computer Science · Computer Science 2026-02-09 Éric Goubault , Jérémy Ledent , Sergio Rajsbaum

In recent years, several authors have been investigating simplicial models, a model of epistemic logic based on higher-dimensional structures called simplicial complexes. In the original formulation, simplicial models were always assumed to…

Logic in Computer Science · Computer Science 2023-11-15 Eric Goubault , Roman Kniazev , Jeremy Ledent , Sergio Rajsbaum

We present a family of logics for reasoning about agents' positions and motion in the plane which have several potential applications in the area of multi-agent systems (MAS), such as multi-agent planning and robotics. The most general…

Artificial Intelligence · Computer Science 2017-02-07 Philippe Balbiani , David Fernández-Duque , Emiliano Lorini

We propose a multi-agent epistemic logic capturing reasoning with degrees of plausibility that agents can assign to a given statement, with $1$ interpreted as "entirely plausible for the agent" and $0$ as "completely implausible" (i.e., the…

Logic · Mathematics 2025-12-18 Marta Bílková , Thomas Ferguson , Daniil Kozhemiachenko

We investigate multi-agent epistemic modal logic with common knowledge modalities for groups of agents and obtain van Benthem style model-theoretic characterisations, in terms of bisimulation invariance of classical first-order logic over…

Logic · Mathematics 2021-12-22 Felix Canavoi , Martin Otto

Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a…

Logic in Computer Science · Computer Science 2023-08-01 Samuel Bucheli , Roman Kuznets , Thomas Studer

The Kripke semantics of classical propositional normal modal logic is made algebraic via an embedding of Kripke structures into the larger class of pointed stably supported quantales. This algebraic semantics subsumes the traditional…

Logic · Mathematics 2009-11-13 Sérgio Marcelino , Pedro Resende

Large language models (LLMs) have demonstrated strong reasoning, planning, and communication abilities, enabling them to operate as autonomous agents in open environments. While single-agent systems remain limited in adaptability and…

Multiagent Systems · Computer Science 2026-01-22 Jianing Hao , Han Ding , Yuanjian Xu , Tianze Sun , Ran Chen , Wanbo Zhang , Guang Zhang , Siguang Li

The challenge of engineering autonomous agents capable of navigating the stochastic and adversarial nature of the physical world has historically resided at the intersection of symbolic logic and control theory. Traditional multi-agent…

Artificial Intelligence · Computer Science 2026-05-05 Manuel Hernández , Eduardo Sánchez-Soto

The field of Multi-Agent System (MAS) is an active area of research within Artificial Intelligence, with an increasingly important impact in industrial and other real-world applications. Within a MAS, autonomous agents interact to pursue…

Artificial Intelligence · Computer Science 2018-05-11 Ferdinando Fioretto , Enrico Pontelli , William Yeoh

We propose communication pattern logic. A communication pattern describes how processes or agents inform each other, independently of the information content. The full-information protocol in distributed computing is the special case…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Armando Castañeda , Hans van Ditmarsch , David A. Rosenblueth , Diego A. Velázquez
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