Knowledge and Simplicial Complexes
Por:
Ditmarsch H., Goubault, Eric, Ledent, Jeremy, Rajsbaum, Sergio
Publicada:
1 ene 2022
Resumen:
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).
Filiaciones:
Ditmarsch H.:
Open University of the Netherlands, Heerlen, Netherlands
Goubault, Eric:
LIX, École Polytechnique, CNRS, Institut Polytechnique de Paris, Palaiseau, France
Ledent, Jeremy:
University of Strathclyde, Glasgow, United Kingdom
Rajsbaum, Sergio:
Instituto de Matemáticas, Universidad Nacional Autónoma de México (UNAM), Mexico D.F., Mexico
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