Knowledge and Simplicial Complexes - Archive ouverte HAL
Article Dans Une Revue Philosophical Studies Series Année : 2022

Knowledge and Simplicial Complexes

Résumé

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).

Dates et versions

hal-04470606 , version 1 (21-02-2024)

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Hans Van Ditmarsch, Éric Goubault, Jérémy Ledent, Sergio Rajsbaum. Knowledge and Simplicial Complexes. Philosophical Studies Series, 2022, Philosophical Studies Series, 143, pp.1-50. ⟨10.1007/978-3-030-75267-5_1⟩. ⟨hal-04470606⟩
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