@inbook{cd8dd3b0f6984c6bab980a10a67b1520,
title = "Knowledge and Simplicial Complexes",
abstract = "Simplicial complexes are a versatile and convenient paradigm on which to build all the tools and techniques of the logic of knowledge, on the assumption that initial epistemic models can be described in a distributed fashion. Thus, we can define: knowledge, belief, bisimulation, the group notions of mutual, distributed and common knowledge, and also dynamics in the shape of simplicial action models. We give a survey on how to interpret all such notions on simplicial complexes, building upon the foundations laid in Goubault et al. (Inf Comput 278:104597, 2021).",
keywords = "Bisimulation, Epistemic models, Knowledge and belief, Logical tools, Simplicial complexes",
author = "Ditmarsch, \{Hans van\} and {\'E}ric Goubault and J{\'e}r{\'e}my Ledent and Sergio Rajsbaum",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2022",
month = jan,
day = "1",
doi = "10.1007/978-3-030-75267-5\_1",
language = "English",
series = "Philosophical Studies Series",
publisher = "Springer Nature",
pages = "1--50",
booktitle = "Philosophical Studies Series",
}