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We define a new type of proof formalism for multi-agent modal logics with S5-type modalities. This novel formalism combines the features of hypersequents to represent S5 modalities with nested sequents to represent the T-like modality…

Logic in Computer Science · Computer Science 2025-05-30 Marta Bílková , Wesley Fussner , Roman Kuznets

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

Emergent communication offers insight into how agents develop shared structured representations, yet most research assumes homogeneous modalities or aligned representational spaces, overlooking the perceptual heterogeneity of real-world…

Multiagent Systems · Computer Science 2026-01-30 Naomi Pitzer , Daniela Mihai

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

Halpern and Moses were the first to recognize, in 1984, the importance of a formal treatment of knowledge in distributed computing. Many works in distributed computing, however, still employ informal notions of knowledge. Hence, it is…

Logic in Computer Science · Computer Science 2021-06-23 Diego A. Velázquez , Armando Castañeda , David A. Rosenblueth

Awareness structures by Fagin and Halpern (1988) (FH) feature a syntactic awareness correspondence and accessibility relations modeling implicit knowledge. They are a flexible model of unawareness, and best interpreted from a outside…

Logic in Computer Science · Computer Science 2024-05-21 Gaia Belardinelli , Burkhard C. Schipper

Awareness structures by Fagin and Halpern (1988) (FH) feature a syntactic awareness correspondence and accessibility relations modeling implicit knowledge. They are a flexible model of unawareness, and best interpreted from a outside…

Logic in Computer Science · Computer Science 2023-07-12 Gaia Belardinelli , Burkhard C. Schipper

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

Levesque introduced a notion of ``only knowing'', with the goal of capturing certain types of nonmonotonic reasoning. Levesque's logic dealt with only the case of a single agent. Recently, both Halpern and Lakemeyer independently attempted…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Gerhard Lakemeyer

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

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

We investigate a class of first-order temporal-epistemic logics for reasoning about multi-agent systems. We encode typical properties of systems including perfect recall, synchronicity, no learning, and having a unique initial state in…

Multiagent Systems · Computer Science 2014-01-25 Francesco Belardinelli , Alessio Lomuscio

The logics of knowledge are modal logics that have been shown to be effective in representing and reasoning about knowledge in multi-agent domains. Relatively few computational frameworks for dealing with computation of models and useful…

Artificial Intelligence · Computer Science 2010-07-22 Chitta Baral , Gregory Gelfond , Enrico Pontelli , Tran Cao Son

This paper investigates the formal pragmatics of ambiguous expressions by modeling ambiguity in a multi-agent system. Such a framework allows us to give a more refined notion of the kind of information that is conveyed by ambiguous…

Computation and Language · Computer Science 2007-05-23 Christof Monz

In this paper, we investigate knowledge reasoning within a simple framework called knowledge structure. We use variable forgetting as a basic operation for one agent to reason about its own or other agents\ knowledge. In our framework, two…

Logic in Computer Science · Computer Science 2014-01-16 Kaile Su , Abdul Sattar , Guanfeng Lv , Yan Zhang

In this paper, we discuss models of the common knowledge logic. The common knowledge logic is a multi-modal logic that includes the modal operators $\mathsf{K}_{i}$ ($i\in\mathcal{I}$, where $\mathcal{I}$ is a finite set of agents) and…

Logic · Mathematics 2025-12-23 Yoshihito Tanaka

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 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

Machine Learning (ML) has emerged as a powerful form of data modelling with widespread applicability beyond its roots in the design of autonomous agents. However, relatively little attention has been paid to the interaction between people…

Artificial Intelligence · Computer Science 2024-10-29 A. Baskar , Ashwin Srinivasan , Michael Bain , Enrico Coiera

Cognition is the process of knowing. As carried out by a dynamical system, it is the process by which the system absorbs information into its state. A complex network of agents cognizes knowledge about its environment, internal dynamics and…

Multiagent Systems · Computer Science 2022-07-13 Jack Hall
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