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On the homogeneity property for certain quantifier logics
Archive for Mathematical Logic 31 (6):445-455 (1992)
Abstract
The local homogeneity property is defined as in [Mak]. We show thatL ωω(Q1) and some related logics do not have the local homogeneity property, whereas cofinality logicL ωω(Q cfω) has the homogeneity property. Both proofs use forcing and absoluteness argumentsLinks
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References found in this work
Remarks in abstract model theory.Saharon Shelah - 1985 - Annals of Pure and Applied Logic 29 (3):255-288.
Positive results in abstract model theory: a theory of compact logics.J. A. Makowsky & S. Shelah - 1983 - Annals of Pure and Applied Logic 25 (3):263-299.
Stationary logic and its friends. I.Alan H. Mekler & Saharon Shelah - 1985 - Notre Dame Journal of Formal Logic 26 (2):129-138.
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