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handle: 10138/591969 , 2318/2015350
AbstractWe provide two proofs of the compactness theorem for extensions of first‐order logic based on team semantics. First, we build upon Lück's [16] ultraproduct construction for team semantics and prove a suitable version of Łoś' Theorem. Second, we show that by working with suitably saturated models, we can generalize the proof of Kontinen and Yang [13] to sets of formulas with arbitrarily many variables.
03B60, 03C20, 03C85, Logic, math.LOmath.LO, FOS: Mathematics, Mathematics - Logic, Dependence, Logic (math.LO), Mathematics
03B60, 03C20, 03C85, Logic, math.LOmath.LO, FOS: Mathematics, Mathematics - Logic, Dependence, Logic (math.LO), Mathematics
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