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The Härtig quantifier: a survey
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Axiomatische Untersuchungen über Einige mit der Presburgerschen Arithmetik Verwandte Systeme
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ÜBER DIE KATEGORISIERBARKEIT GEWISSER KÖRPER IN NICHT‐ELEMENTAREN LOGIKEN
inferredcites →https://doi.org/10.1002/malq.19690152301openalex-snapshot
SEMANTISCHE UNTERSUCHUNGEN ÜBER QUANTOREN I
inferredcites →https://doi.org/10.1002/malq.19700160502openalex-snapshot
Semantische Untersuchungen Über Quantoren II
inferredcites →https://doi.org/10.1002/malq.19700160806openalex-snapshot
Semantische Untersuchungen Über Quantoren III
inferredcites →https://doi.org/10.1002/malq.19710170111openalex-snapshot
Interpretierbarkeit und Entscheidbarkeit in der Graphentheorie I
inferredcites →https://doi.org/10.1002/malq.19720181306openalex-snapshot
A Remark On The Härtig Quantifier
inferredcites →https://doi.org/10.1002/malq.19720182507openalex-snapshot
Interpretierbarkeit und Entscheidbarkeit in der Graphentheorie II
inferredcites →https://doi.org/10.1002/malq.19770232711openalex-snapshot
The Theory of Abelian Groups With the Quantifier (≦ x)
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Zum Entscheidungsproblem für Theorien in Logiken mit Monadischen Verallgemeinerten Quantoren
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A Quantifier for Isomorphisms
inferredcites →https://doi.org/10.1002/malq.19800263402openalex-snapshot
Decidability and Definability Results Concerning Well‐Orderings and Some Extensions of First Order Logic
inferredcites →https://doi.org/10.1002/malq.19810271604openalex-snapshot
ZUM VERGLEICH VON HÄRTIGQUANTOR UND RESCHERQUANTOR
inferredcites →https://doi.org/10.1002/malq.19810273107openalex-snapshot
The Henkin Quantifier and Real Closed Fields
inferredcites →https://doi.org/10.1002/malq.19810273604openalex-snapshot
Decidability with Respect to Härtig Quantifier and Rescher Quantifier
inferredcites →https://doi.org/10.1002/malq.19820280405openalex-snapshot
Elimination of Cardinality Quantifiers
inferredcites →https://doi.org/10.1002/malq.19870330411openalex-snapshot
On Some Applications of Games for Härtig Quantifier
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Models and Ultraproducts
inferredcites →https://doi.org/10.1007/978-3-662-11035-5openalex-snapshot
Admissible Sets and Structures
inferredcites →https://doi.org/10.1007/978-94-009-9825-4_12openalex-snapshot
On the Expressive Power of the Language Using the Henkin Quantifier
inferredcites →https://doi.org/10.1007/978-94-009-9825-4_13openalex-snapshot
Remarks on Free Quantifier Variables
inferredcites →https://doi.org/10.1007/bf00968021openalex-snapshot
The differential geometry of families of multidimensional planes in a projective space. I
inferredcites →https://doi.org/10.1007/bf00970046openalex-snapshot
Hanf number for the calculus with the Härtig quantifier
inferredcites →https://doi.org/10.1007/bf00972801openalex-snapshot
Cardinality of models for theories in a calculus with a Härtig quantifier
inferredcites →https://doi.org/10.1007/bf02762675openalex-snapshot
Beth’s theorem in cardinality logics
inferredcites →https://doi.org/10.1007/bf02771565openalex-snapshot
On the role of supercompact and extendible cardinals in logic
inferredcites →https://doi.org/10.1007/bfb0079102openalex-snapshot
The monadic fragment of predicate calculus with the Chang quantifier and equality
inferredcites →https://doi.org/10.1007/bfb0096899openalex-snapshot
Ehrenfeucht games for generalized quantifiers
inferredcites →https://doi.org/10.1007/bfb0096909openalex-snapshot
The universality of boolean algebras with the Härtig quantifier
inferredcites →https://doi.org/10.1016/0003-4843(71)90010-6openalex-snapshot
Some applications of model theory in set theory
inferredcites →https://doi.org/10.1016/0003-4843(74)90016-3openalex-snapshot
Axioms for abstract model theory
inferredcites →https://doi.org/10.1016/0003-4843(76)90021-8openalex-snapshot
δ-Logics and generalized quantifiers
inferredcites →https://doi.org/10.1016/0003-4843(80)90005-4openalex-snapshot
Boolean valued models and generalized quantifiers
inferredcites →https://doi.org/10.1016/0041-5553(70)90206-5openalex-snapshot
Colloquium on the foundations of mathematics, mathematical machines and their applications
inferredcites →https://doi.org/10.1016/b978-0-7204-2233-7.50030-7openalex-snapshot
REDUCTIONS OF HIGHER-ORDER LOGIC**The preparation of most of this paper was supported by the United States National Science Foundation, under grant NSF-GP-1603 (Montague). I am indebted for helpful comments to Professor Robert L. Vaught and my students Dr. David Kaplan and Mr. Barry Kurtzman.
inferredcites →https://doi.org/10.1016/s0049-237x(08)71188-1openalex-snapshot
Craig's Interpolation Theorem in Some Extended Systems of Logic
inferredcites →https://doi.org/10.1016/s0049-237x(08)71373-9openalex-snapshot
Generalized Quantifiers in Models of Set Theory
inferredcites →https://doi.org/10.1016/s0049-237x(08)71637-9openalex-snapshot
Abstract Logic and Set Theory. I. Definability
inferredcites →https://doi.org/10.1016/s0049-237x(08)72006-8openalex-snapshot
Decidability and Generalized Quantifiers
inferredcites →https://doi.org/10.1016/s0049-237x(08)x7044-2openalex-snapshot
Large Infinitary Languages - Model Theory
inferredcites →https://doi.org/10.1016/s0049-237x(09)70266-6openalex-snapshot
On a generalization of quantifiers
inferredcites →https://doi.org/10.1016/s0049-237x(09)70481-1openalex-snapshot
Back-and-Forth Systems for Arbitrary Quantifiers
inferredcites →https://doi.org/10.1017/9781316717158.025openalex-snapshot
Set-Theoretic Definability of Logics
inferredcites →https://doi.org/10.1090/s0002-9939-1976-0421982-4openalex-snapshot
On the Failure of the Weak Beth Property
inferredcites →https://doi.org/10.1111/j.1755-2567.1966.tb00600.xopenalex-snapshot
First Order Predicate Logic with Generalized Quantifiers
inferredcites →https://doi.org/10.1111/j.1755-2567.1969.tb00356.xopenalex-snapshot
On Extensions of Elementary Logic
inferredcites →https://doi.org/10.1515/9783112746516openalex-snapshot
Decidability and Generalized Quantifiers
inferredcites →https://doi.org/10.2307/2273145openalex-snapshot
Abstract logic and set theory. II. Large cardinals
inferredcites →https://doi.org/10.2307/2273726openalex-snapshot
On the semantics of the Henkin quantifier
inferredcites →https://doi.org/10.4064/fm-108-3-183-197openalex-snapshot
The theory of abelian p-groups with the quantifier I is decidable
inferredcites →https://doi.org/10.4064/fm-44-1-12-36openalex-snapshot
On a generalization of quantifiers
inferredcites →https://doi.org/10.4064/fm-66-1-147-152openalex-snapshot
Incompleteness of Lp languages
inferredcites →https://doi.org/10.4064/fm-82-2-153-165openalex-snapshot
Two notes on abstract model theory. I. Properties invariant on the range of definable relations between structures
inferredcites →https://doi.org/10.4064/fm-83-2-121-127openalex-snapshot
Theorien abelscher Gruppen mit einem einstelligen Prädikat
inferredcites →https://doi.org/10.5186/aasfmd.1978.020openalex-snapshot
Two axioms of set theory with applications to logic
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/malq.200310011openalex-snapshot
Sperner spaces and first‐order logic
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Quantifier elimination for counting extensions of Presburger arithmetic
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Dynamic Modal Logic with Counting: When Reduction Axioms Work and Fail
inferred← citeshttps://doi.org/10.1007/978-3-031-56940-1_16openalex-snapshot
An Investigation of the Negationless Fragment of the Rescher-Härtig quantifier
inferred← citeshttps://doi.org/10.1007/978-3-319-29300-4_18openalex-snapshot
Syllogistic Logic with Cardinality Comparisons
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On the Model Theory of Some Generalized Quantifiers
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The Prehistory of Infinitary Logic: 1885–1955
inferred← citeshttps://doi.org/10.1007/978-981-96-0354-1_1openalex-snapshot
Game Semantics for Modal Logic with Counting
inferred← citeshttps://doi.org/10.1007/bfb0023464openalex-snapshot
Undecidability results on two-variable logics
inferred← citeshttps://doi.org/10.1007/s11229-008-9357-zopenalex-snapshot
The Craig Interpolation Theorem in abstract model theory
inferred← citeshttps://doi.org/10.1016/0168-0072(92)90003-iopenalex-snapshot
Decidability problems in languages with Henkin quantifiers
inferred← citeshttps://doi.org/10.1016/0168-0072(94)00025-xopenalex-snapshot
Generalized quantifiers and pebble games on finite structures
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Lindström theorems in graded model theory
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MAXIMALITY OF LOGIC WITHOUT IDENTITY
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Axiomatization of modal logic with counting
inferred← citeshttps://doi.org/10.1093/logcom/exae028openalex-snapshot
Numerical expressive power of logical languages with cardinality comparison
inferred← citeshttps://doi.org/10.1145/1265530.1265556openalex-snapshot
Non-linear prefixes in query languages
inferred← citeshttps://doi.org/10.1145/1838552.1838555openalex-snapshot
Monadic datalog over finite structures of bounded treewidth
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Extensions of ω-Regular Languages
inferred← citeshttps://doi.org/10.1215/00294527-2010-010openalex-snapshot
Numerical Abstraction via the Frege Quantifier
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The bounded proper forcing axiom and well orderings of the reals
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On Presburger arithmetic extended with non-unary counting quantifiers
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Closed Unbounded classes and the Haertig Quantifier Model
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Presburger arithmetic with threshold counting quantifiers is easy
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