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The logic behind desirable sets of things, and its filter representation (2302.08176v3)
Published 16 Feb 2023 in math.LO and cs.AI
Abstract: We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.