An Ehrenfeucht‐Fraïssé game for Lω1ω

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Mathematical Logic Quarterly 59 (4-5):357-370 (2013)
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Abstract

In this paper we develop an Ehrenfeucht‐Fraïssé game for. Unlike the standard Ehrenfeucht‐Fraïssé games which are modeled solely after the behavior of quantifiers, this new game also takes into account the behavior of connectives in logic. We prove the adequacy theorem for this game. We also apply the new game to prove complexity results about infinite binary strings.

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10.1002/malq.201200104

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Citations of this work

Some transfinite natural sums.Paolo Lipparini - 2018 - Mathematical Logic Quarterly 64 (6):514-528.
An infinte natural sum.Paolo Lipparini - 2016 - Mathematical Logic Quarterly 62 (3):249-257.

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References found in this work

On the semantics of informational independence.Jouko Väänänen - 2002 - Logic Journal of the IGPL 10 (3):339-352.
Remarks on Predicate Logic with Infinitely Long Expressions.A. Tarski - 1965 - Journal of Symbolic Logic 30 (1):94-95.
Reduced products and nonstandard logics.M. Benda - 1969 - Journal of Symbolic Logic 34 (3):424-436.

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