Ultravaluations and their Applications in $$\textsf{CPL}$$

Logica Universalis 17 (3):259-267 (2023)
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Abstract

This paper introduces the construct of an ultravaluation inspired by the well-known ultraproduct. Basic properties and exemplary applications of this notion are shown: for compactness and definability theorems. We also use ultravaluations to check failure of compactness and undefinability.

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Krzysztof Krawczyk
Jagiellonian University

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