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J. Makowsky, S. Tulipani (1977)
Some model theory for monotone quantifiersArchiv für mathematische Logik und Grundlagenforschung, 18
S. Shelah (1975)
Generalized quantifiers and compact logicTransactions of the American Mathematical Society, 204
(1977)
Compact extensions of L(Q)
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A. Ehrenfeucht (1961)
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K.J. Barwise, M. Kaufmann, M. Makkai (1978)
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J. Makowsky, S. Shelah (1979)
The theorems of Beth and Craig in abstract model theory. I. The abstract settingTransactions of the American Mathematical Society, 256
Shlomo Vinner (1972)
A generalization of Ehrenfeucht’s game and some applicationsIsrael Journal of Mathematics, 12
T. Jech (1977)
TreesVSL, 36
A. Slomson (1972)
Generalized quantifiers and well orderingsArchiv für mathematische Logik und Grundlagenforschung, 15
L. Badger (1977)
An Ehrenfeucht game for the multivariable quantifiers of Malitz and some applications.Pacific Journal of Mathematics, 72
J. Makowsky, S. Shelah, J. Stavi (1976)
δ-Logics and generalized quantifiersAnnals of Mathematical Logic, 10
H. Friedman (1973)
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S. Ben-David (1978)
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A. Wojciechowska (1969)
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K. Barwise (1974)
Axioms for abstract model theoryAnnals of Mathematical Logic, 7
W. Mitchell (1972)
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H. Gaifman, E. Specker (1964)
Isomorphism Types of Trees, 15
H. Keisler (1970)
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M. Yasuhara (1966)
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Various compact logics such as stationary logic, positive logic, logics with various cardinality quantifiers and cofinality quantifiers are studied. Counterexamples to the theorems of Beth and Craig are given. Back and forth arguments are studied for the first two logics, transfer theorems presented for positive logic and a new compactness proof for the confinality quantifiers is given.
Archive for Mathematical Logic – Springer Journals
Published: Jul 14, 2005
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