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arXiv · 2311.00759

Logic families

H. Andréka·Z. Gyenis·I. Németi·I. Sain
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Abstract

A logic family is a bunch of logics that belong together in some way. First-order logic is one of the examples. Logics organized into a structure occurs in abstract model theory, institution theory and in algebraic logic. Logic families play a role in adopting methods for investigating sentential logics to first-order like logics. We thoroughly discuss the notion of logic families as defined in the recent Universal Algebraic Logic book.

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H. Andréka, Z. Gyenis, I. Németi, I. Sain. 2023-11-01. Logic families. https://doi.org/10.1007/s11225-024-10125-1

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