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  1. On the expressibility hierarchy of Magidor-Malitz quantifiers.Matatyahu Rubin & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):542-557.
    We prove that the logics of Magidor-Malitz and their generalization by Rubin are distinct even for PC classes. Let $M \models Q^nx_1 \cdots x_n \varphi(x_1 \cdots x_n)$ mean that there is an uncountable subset A of |M| such that for every $a_1, \ldots, a_n \in A, M \models \varphi\lbrack a_1, \ldots, a_n\rbrack$ . Theorem 1.1 (Shelah) $(\diamond_{\aleph_1})$ . For every n ∈ ω the class $K_{n + 1} = \{\langle A, R\rangle \mid \langle A, R\rangle \models \neg Q^{n + 1} (...)
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  • The ordered field of real numbers and logics with Malitz quantifiers.Andreas Rapp - 1985 - Journal of Symbolic Logic 50 (2):380-389.
    Let ℜ = (R, + R , ...) be the ordered field of real numbers. It will be shown that the L(Q n 1 ∣ n ≥ 1)-theory of ℜ is decidable, where Q n 1 denotes the Malitz quantifier of order n in the ℵ 1 -interpretation.
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  • ON THE EXPRESSIVE POWER OF THE LOGICS L_(Q α _n1_,…, _n_ _m).Andreas Rapp - 1984 - Mathematical Logic Quarterly 30 (1-6):11-20.
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  • European Summer Meeting of the Association for Symbolic Logic.W. Obserschelp, B. Schinzel, W. Thomas & M. M. Richter - 1985 - Journal of Symbolic Logic 50 (1):259-283.
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  • Definability hierarchies of general quantifiers.Lauri Hella - 1989 - Annals of Pure and Applied Logic 43 (3):235.
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  • The Henkin Quantifier and Real Closed Fields.John R. Cowles - 1981 - Mathematical Logic Quarterly 27 (31‐35):549-555.
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  • The Henkin Quantifier and Real Closed Fields.John R. Cowles - 1981 - Mathematical Logic Quarterly 27 (31-35):549-555.
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