Model theoretic results for infinitely deep languages

Studia Logica 42 (2-3):223 - 241 (1983)
Abstract
We define a subhierarchy of the infinitely deep languagesN described by Jaakko Hintikka and Veikko Rantala. We shall show that some model theoretic results well-known in the model theory of the ordinary infinitary languages can be generalized for these new languages. Among these are the downward Löwenheim-Skolem and o's theorems as well as some compactness properties.
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DOI 10.1007/BF01063842
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References found in this work BETA
Large Infinitary Languages: Model Theory.M. A. Dickmann - 1975 - American Elsevier Pub. Co..
A New Approach to Infinitary Languages.Jaakko Hintikka & Veikko Rantala - 1976 - Annals of Mathematical Logic 10 (1):95-115.
Model Theory.C. C. Chang & H. J. Keisler - 1976 - Journal of Symbolic Logic 41 (3):697-699.
Set Theory. An Introduction to Large Cardinals.Frank R. Drake - 1978 - Journal of Symbolic Logic 43 (2):384-384.

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