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In this paper, we delve into the study of epistemic logics, interpreted through similarity models based on weighted graphs. We explore eight languages that extend the traditional epistemic language by incorporating modalities of common,…

Logic in Computer Science · Computer Science 2023-10-03 Xiaolong Liang , Yì N. Wáng

A natural way to represent beliefs and the process of updating beliefs is presented by Bayesian probability theory, where belief of an agent a in P can be interpreted as a considering that P is more probable than not P. This paper attempts…

Logic in Computer Science · Computer Science 2017-07-28 Jan van Eijck , Kai Li

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

This paper presents an extension of temporal epistemic logic with operators that quantify over agent strategies. Unlike previous work on alternating temporal epistemic logic, the semantics works with systems whose states explicitly encode…

Logic in Computer Science · Computer Science 2018-07-13 Xiaowei Huang , Ron van der Meyden

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

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

Distributed knowledge is the sum of the knowledge in a group; what someone who is able to discern between two possible worlds whenever any member of the group can discern between them, would know. Sometimes distributed knowledge is referred…

Logic in Computer Science · Computer Science 2016-06-27 Thomas Ågotnes , Yì N. Wáng

Distributed knowledge is a key concept in the standard epistemic logic of knowledge-that. In this paper, we propose a corresponding notion of distributed knowledge-how and study its logic. Our framework generalizes two existing traditions…

Logic in Computer Science · Computer Science 2025-12-01 Bin Liu , Yanjing Wang

The aim of this paper is to investigate the interplay between knowledge shared by a group of agents and its coalition ability. We investigate this relation in the standard context of imperfect information concurrent game. We assume that…

Artificial Intelligence · Computer Science 2016-11-28 Guifei Jiang , Dongmo Zhang , Laurent Perrussel

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 propose a multi-agent epistemic logic of asynchronous announcements, where truthful announcements are publicly sent but individually received by agents, and in the order in which they were sent. Additional to epistemic modalities the…

Artificial Intelligence · Computer Science 2021-01-19 Philippe Balbiani , Hans van Ditmarsch , Saúl Fernández González

The computability power of a distributed computing model is determined by the communication media available to the processes, the timing assumptions about processes and communication, and the nature of failures that processes can suffer. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-27 Eric Goubault , Sergio Rajsbaum

This work studies the learning abilities of agents sharing partial beliefs over social networks. The agents observe data that could have risen from one of several hypotheses and interact locally to decide whether the observations they are…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Virginia Bordignon , Vincenzo Matta , Ali H. Sayed

This work studies the distributed learning process on a network of agents. Agents make partial observation about an unknown hypothesis and iteratively share their beliefs over a set of possible hypotheses with their neighbors to learn the…

Systems and Control · Electrical Eng. & Systems 2024-11-19 P Raghavendra Rao , Pooja Vyavahare

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

Coordinating activities at different sites of a multi-agent system typically imposes epistemic constraints on the participants. Specifying explicit bounds on the relative times at which actions are performed induces combined temporal and…

Logic in Computer Science · Computer Science 2013-10-29 Yannai A. Gonczarowski , Yoram Moses

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

Information pooling has been extensively formalised across various logical frameworks in distributed systems, characterized by diverse information-sharing patterns. These approaches generally adopt an intersection perspective, aggregating…

Logic in Computer Science · Computer Science 2024-05-17 Huimin Dong

We compare different epistemic notions in the presence of awareness of propositional variables: the logics of implicit knowledge (in which explicit knowledge is definable), explicit knowledge, and speculative knowledge. Different notions of…

Logic in Computer Science · Computer Science 2013-10-29 Hans van Ditmarsch , Tim French , Fernando R. Velazquez-Quesada , Yi N. Wang

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