Convergence, Continuity and Recurrence in Dynamic Epistemic Logic

Professorship/Faculty: Political Theory  
Authors: Klein, Dominik ; Rendsvig, Rasmus K.
Editors: Baltag, Alexandru; Seligman, Jeremy; Yamada, Tomoyuki
Title of the compilation: Logic, rationality, and interaction : 6th International Workshop, LORI 2017, Sapporo, Japan, September 11-14, 2017 : proceedings
Corporate Body: LORI: International Workshop on Logic, Rationality and Interaction, 6th international workshop, 2017, Sapporo, Japan
Publisher Information: Berlin, Heidelberg : Springer
Year of publication: 2017
Pages / Size: Seite 108-122
ISBN: 978-3-662-55664-1
Series ; Volume: Lecture notes in computer science ; 10455
Language(s): English
DOI: 10.1007/978-3-662-55665-8
Document Type: Conferenceobject
The paper analyzes dynamic epistemic logic from a topological perspective. The main contribution consists of a framework in which dynamic epistemic logic satisfies the requirements for being a topological dynamical system thus interfacing discrete dynamic logics with continuous mappings of dynamical systems. The setting is based on a notion of logical convergence, demonstratively equivalent with convergence in Stone topology. Presented is a flexible, parametrized family of metrics inducing the latter, used as an analytical aid. We show maps induced by action model transformations continuous with respect to the Stone topology and present results on the recurrent behavior of said maps.
Keywords: Dynamic epistemic logic, Limit behavior, Convergence, General topology, Modal logic
Release Date: 3. December 2017