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Three characterizations of strict coherence on infinite-valued events (2107.12624v1)
Published 27 Jul 2021 in math.LO and math.PR
Abstract: This paper builds on a recent article co-authored by the present author, H. Hosni and F. Montagna. It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence. In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued {\L}ukasewicz logic