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We study notions of (virtual) group knowledge and group belief within multi-agent evidence models, obtained by extending the topological semantics of evidence-based belief and fallible knowledge from individuals to groups. We completely…

Artificial Intelligence · Computer Science 2025-09-03 Alexandru Baltag , Malvin Gattinger , Djanira Gomes

Common Knowledge Logic is meant to describe situations of the real world where a group of agents is involved. These agents share knowledge and make strong statements on the knowledge of the other agents (the so called \emph{common…

Computer Science and Game Theory · Computer Science 2007-12-20 Pierre Lescanne , Jérôme Puisségur

We develop a conceptually clear, intuitive, and feasible decision procedure for testing satisfiability in the full multi-agent epistemic logic CMAEL(CD) with operators for common and distributed knowledge for all coalitions of agents…

Logic in Computer Science · Computer Science 2016-11-27 Mai Ajspur , Valentin Goranko , Dmitry Shkatov

We introduce First-Order Coalition Logic ($\mathsf{FOCL}$), which combines key intuitions behind Coalition Logic ($\mathsf{CL}$) and Strategy Logic ($\mathsf{SL}$). Specifically, $\mathsf{FOCL}$ allows for arbitrary quantification over…

Logic in Computer Science · Computer Science 2025-05-13 Davide Catta , Rustam Galimullin , Aniello Murano

We study distributed knowledge, which is what privately informed agents come to know by communicating freely with one another and sharing everything they know. Knowledge is not necessarily partitional: agents may be boundedly rational and…

Theoretical Economics · Economics 2025-05-13 Michele Crescenzi

Reasoning about knowledge seems to play a fundamental role in distributed systems. Indeed, such reasoning is a central part of the informal intuitive arguments used in the design of distributed protocols. Communication in a distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Joseph Y. Halpern , Yoram Moses

The paper suggests a definition of "know who" as a modality using Grove-Halpern semantics of names. It also introduces a logical system that describes the interplay between modalities "knows who", "knows", and "for all agents". The main…

Artificial Intelligence · Computer Science 2021-03-04 Sophia Epstein , Pavel Naumov

We consider two simple variants of a framework for reasoning about knowledge amongst communicating groups of players. Our goal is to clarify the resulting epistemic issues. In particular, we investigate what is the impact of common…

Logic in Computer Science · Computer Science 2009-07-03 Krzysztof R. Apt , Andreas Witzel , Jonathan A. Zvesper

In formal epistemology, group knowledge is often modelled as the knowledge that the group would have, if the agents shared all their individual knowledge. However, this interpretation does not account for relations between agents. In this…

Logic in Computer Science · Computer Science 2024-03-28 Christian Cachin , David Lehnherr , Thomas Studer

We propose a conjugate logic that can capture the behavior of quantum and quantum-like systems. The proposal is similar to the more generic concept of epistemic logic: it encodes knowledge or perhaps more correctly, predictions about…

Quantum Physics · Physics 2024-01-10 Niklas Johansson , Felix Huber , Jan-Åke Larsson

The use of Dynamic Epistemic Logic (DEL) in multi-agent planning has led to a widely adopted action formalism that can handle nondeterminism, partial observability and arbitrary knowledge nesting. As such expressive power comes at the cost…

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

In this paper, we present a generalized effective completeness theorem for continuous logic. The primary result is that any continuous theory is satisfied in a structure which admits a presentation of the same Turing degree. It then follows…

Logic · Mathematics 2022-02-24 Caleb Camrud

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

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 minor change to the standard epistemic logical language, replacing $K_{i}$ with $K_{\node{i,t}}$ where $t$ is a time instance, gives rise to a generalized and more expressive form of knowledge and common knowledge operators. We…

Multiagent Systems · Computer Science 2012-03-27 Ido Ben-Zvi , Yoram Moses

In this paper, we provide a framework integrating distributed multi-robot systems and temporal epistemic logic. We show that continuous-discrete hybrid systems are compatible with logical models of knowledge already used in distributed…

Logic in Computer Science · Computer Science 2025-09-01 Giorgio Cignarale , Stephan Felber , Eric Goubault , Bernardo Hummes Flores , Hugo Rincon Galeana

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

Blameworthiness of an agent or a coalition of agents is often defined in terms of the principle of alternative possibilities: for the coalition to be responsible for an outcome, the outcome must take place and the coalition should have had…

Artificial Intelligence · Computer Science 2019-03-28 Pavel Naumov , Jia Tao

Reasoning abilities of human beings are limited. Logics that treat logical inference for human knowledge should reflect these limited abilities. Logic of awareness is one of those logics. In the logic, what an agent with a limited reasoning…

Multiagent Systems · Computer Science 2024-02-14 Yudai Kubono

This paper presents a novel concept of a Polyatomic Logic and initiates its systematic study. This approach, inspired by Inquisitive semantics, is obtained by taking a variant of a given logic, obtained by looking at the fragment covered by…

Logic · Mathematics 2023-03-28 Rodrigo Nicolau Almeida