@inbook{e966a224bb294145ba525a30d3a45934,
title = "Convergence, Continuity and Recurrence in Dynamic Epistemic Logic",
abstract = "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 = "Convergence, Dynamic epistemic logic, Dynamical systems, General topology, Limit behavior, Metric spaces, Modal logic, Recurrence",
author = "Dominik Klein and Rendsvig, {Rasmus K.}",
year = "2017",
doi = "10.1007/978-3-662-55665-8_8",
language = "English",
isbn = "9783319649993",
volume = "10445 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "108--122",
booktitle = "Logic, Rationality, and Interaction",
address = "Germany",
note = "Logic, Rationality, and Interaction : 6th International Workshop , LORI 2017 ; Conference date: 11-09-2017 Through 14-09-2017",
}