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arXiv · 2212.03677

Compactness in Team Semantics

Joni Puljujärvi·Davide Emilio Quadrellaro
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Abstract

We provide two proofs of the compactness theorem for extensions of first-order logic based on team semantics. First, we build upon L\"uck's ultraproduct construction for team semantics and prove a suitable version of {\L}o\'s' Theorem. Second, we show that by working with suitably saturated models, we can generalize the proof of Kontinen and Yang to sets of formulas with arbitrarily many variables.

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Joni Puljujärvi, Davide Emilio Quadrellaro. 2022-12-07. Compactness in Team Semantics. https://doi.org/10.1002/malq.202200072

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