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arXiv · 2304.07865

A general approach to asymptotic elimination of aggregation functions and generalized quantifiers

Vera Koponen·Felix Weitkämper
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Abstract

We consider a logic with truth values in the unit interval and which uses aggregation functions instead of quantifiers, and we describe a general approach to asymptotic elimination of aggregation functions and, indirectly, of asymptotic elimination of Mostowski style generalized quantifiers, since such can be expressed by using aggregation functions. The notion of ``local continuity'' of an aggregation function, which we make precise in two (related) ways, plays a central role in this approach.

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Vera Koponen, Felix Weitkämper. 2023-04-16. A general approach to asymptotic elimination of aggregation functions and generalized quantifiers. https://doi.org/10.1007/s00153-025-01000-4

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