Knowledge and Simplicial Complexes
Philosophy of Computing(2022)
摘要
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).
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关键词
Simplicial complexes, Epistemic models, Knowledge and belief, Bisimulation, Logical tools
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