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  1. First order predicate logic with generalized quantifiers.Per Lindström - 1966 - Theoria 32 (3):186--195.
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  • On Extensions of Elementary Logic.Per Lindström - 1969 - Theoria 35 (1):1-11.
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  • Relative strength of Malitz quantifiers.Steven Garavaglia - 1978 - Notre Dame Journal of Formal Logic 19 (3):495-503.
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  • 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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  • Finite partially-ordered quantification.Wilbur John Walkoe - 1970 - Journal of Symbolic Logic 35 (4):535-555.
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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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  • Finite quantifier equivalence.Carol Karp - 1965 - Journal of Symbolic Logic 36 (1):407--412.
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  • (1 other version)Some Remarks on Infinitely Long Formulas.L. Henkin & Carol R. Karp - 1965 - Journal of Symbolic Logic 30 (1):96-97.
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  • (1 other version)Some remarks on infinitely long formulas.L. Henkin - 1961 - Journal of Symbolic Logic 30 (1):167--183.
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  • Compact extensions of L(Q).Menachem Magidor & Jerome Malitz - 1977 - Annals of Mathematical Logic 11 (2):217--261.
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  • Logic with the quantifier “there exist uncountably many”.H. Jerome Keisler - 1970 - Annals of Mathematical Logic 1 (1):1-93.
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  • Vector spaces and binary quantifiers.Michał Krynicki, Alistair Lachlan & Jouko Väänänen - 1984 - Notre Dame Journal of Formal Logic 25 (1):72-78.
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  • Axioms for abstract model theory.K. J. Barwise - 1974 - Annals of Mathematical Logic 7 (2-3):221-265.
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  • δ-Logics and generalized quantifiers.J. A. Makowsky - 1976 - Annals of Mathematical Logic 10 (2):155-192.
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  • On orderings of the family of all logics.Michał Krynicki & Jouko Väänänen - 1980 - Archive for Mathematical Logic 22 (3-4):141-158.
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  • Stationary logic.Jon Barwise - 1978 - Annals of Mathematical Logic 13 (2):171.
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  • (1 other version)Finite partially-ordered quantification.Wilbur John Walkoe Jr - 1970 - Journal of Symbolic Logic 35 (4):535-555.
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  • Axioms for abstract model theory.K. Jon Barwise - 1974 - Annals of Mathematical Logic 7 (2-3):221-265.
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  • Henkin and function quantifiers.Michael Krynicki & Jouko Väänänen - 1989 - Annals of Pure and Applied Logic 43 (3):273-292.
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