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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/11614

Title: Collective Belief Revision in Linear Algebra
Authors: Tojo, Satoshi
Keywords: lineear algebra
Issue Date: 2013-09
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Magazine name: Proceedings of the 2013 Federated Conference on Computer Science and Information Systems (FedCSIS)
Start page: 175
End page: 178
Abstract: Although the logic of belief update has mainly concerned a belief state of one agent thus far, the real world settings require us to implement simultaneous belief changes. Here, however, we need to manage so many indices: agent names, time stamps, and the difference of information. In this paper, we introduce the notation of vectors and matrices for the simultaneous informing action. By this, we show that a matrix can represent a public announcement and/or a consecutive message passing, with the time of the change of belief states properly. A collective belief state multiplied by a communication matrix, including matrices of accessibility in Kripke semantics, becomes a hypercuboid.
Rights: This is the author's version of the work. Copyright (C) 2013 IEEE. Proceedings of the 2013 Federated Conference on Computer Science and Information Systems (FedCSIS), 2013, 175-178. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
URI: http://hdl.handle.net/10119/11614
Material Type: author
Appears in Collections:b11-1. 会議発表論文・発表資料 (Conference Papers)

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