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On the model theory of denumerably long formulas with finite strings of quantifiers

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/s0049-237x(08)x7021-1openalex-snapshot
Languages with Expressions of Infinite Length
inferredcites →https://doi.org/10.1016/s1385-7258(55)50009-6openalex-snapshot
Contributions to the theory of models. III
inferredcites →https://doi.org/10.1073/pnas.49.6.828openalex-snapshot
A UNIFYING PRINCIPAL IN QUANTIFICATION THEORY
inferredcites →https://doi.org/10.1090/s0002-9904-1966-11507-0openalex-snapshot
Persistent and invariant formulas relative to theories of higher order
inferredcites →https://doi.org/10.2140/pjm.1959.9.143openalex-snapshot
Properties preserved under homomorphism
inferredcites →https://doi.org/10.2307/2268420openalex-snapshot
Alfred Tarski. Contributions to the theory of models. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 57 (1954), pp. 572–588, and vol. 58 (1955), pp. 56–64; also Indagationes mathematicae, vol. 16 (1954), pp. 572–588, and vol. 17 (1955), pp. 56–64.
inferredcites →https://doi.org/10.2307/2269622openalex-snapshot
Some applications of infinitely long formulas
inferredcites →https://doi.org/10.2307/2271066openalex-snapshot
An extension of the Craig-Lyndon interpolation theorem
inferredcites →https://doi.org/10.2307/2271099openalex-snapshot
Infinitary logic and admissible sets
inferredcites →https://doi.org/10.2307/2314842openalex-snapshot
Languages with Expressions of Infinite Length.
inferredcites →https://doi.org/10.4064/fm-42-1-38-54openalex-snapshot
On the extending of models (I)
inferredcites →https://doi.org/10.4064/fm-57-3-253-272openalex-snapshot
An interpolation theorem for denumerably long formulas

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.19820281405openalex-snapshot
A Note on the Interpolation Theorem in First Order Logic
inferred← citeshttps://doi.org/10.1002/malq.19890350206openalex-snapshot
Preservation and Interpolation Through Binary Relations Between Theories
inferred← citeshttps://doi.org/10.1007/978-3-031-24117-8_20openalex-snapshot
The Strategic Balance of Games in Logic
inferred← citeshttps://doi.org/10.1007/978-3-319-93342-9_9openalex-snapshot
The Explanatory Power of a New Proof: Henkin’s Completeness Proof
inferred← citeshttps://doi.org/10.1007/978-3-642-11121-1_2openalex-snapshot
Constructions in Model Theory
inferred← citeshttps://doi.org/10.1007/978-94-010-0630-9_2openalex-snapshot
The Proof Theory of Stig Kanger: A Personal Recollection
inferred← citeshttps://doi.org/10.1007/bf01173845openalex-snapshot
Preservation theorems for limits of structures and global sections of sheaves of structures
inferred← citeshttps://doi.org/10.1007/bf01427948openalex-snapshot
Some remarks on projective model classes and the interpolation theorem
inferred← citeshttps://doi.org/10.1007/bf02011637openalex-snapshot
A unifying approach to theorems on preservation and interpolation for binary relations between structures
inferred← citeshttps://doi.org/10.1007/bf02015372openalex-snapshot
On some properties a projective model class passes on to the generated axiomatic class
inferred← citeshttps://doi.org/10.1007/bfb0066794openalex-snapshot
Vaught sentences and Lindström's regular relations
inferred← citeshttps://doi.org/10.1007/s00010-006-2844-8openalex-snapshot
Positive definitions of segment congruence in terms of segment inequality
inferred← citeshttps://doi.org/10.1007/s00153-005-0302-2openalex-snapshot
A relative interpolation theorem for infinitary universal Horn logic and its applications
inferred← citeshttps://doi.org/10.1007/s11229-008-9357-zopenalex-snapshot
The Craig Interpolation Theorem in abstract model theory
inferred← citeshttps://doi.org/10.1016/0003-4843(73)90003-xopenalex-snapshot
Boolean models and infinitary first order languages
inferred← citeshttps://doi.org/10.1016/j.apal.2023.103333openalex-snapshot
Boolean valued semantics for infinitary logics
inferred← citeshttps://doi.org/10.1016/s0049-237x(00)80022-1openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70715-8openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70918-2openalex-snapshot
References
inferred← citeshttps://doi.org/10.1090/s0002-9904-1973-13258-6openalex-snapshot
Global definability theory in 𝐿_{𝜔₁𝜔}
inferred← citeshttps://doi.org/10.1142/s0219061311001006openalex-snapshot
CHAIN MODELS, TREES OF SINGULAR CARDINALITY AND DYNAMIC EF-GAMES
inferred← citeshttps://doi.org/10.1145/3704893openalex-snapshot
Barendregt Convenes with Knaster and Tarski: Strong Rule Induction for Syntax with Bindings
inferred← citeshttps://doi.org/10.1305/ndjfl/1039293062openalex-snapshot
Interpolation and Preservation in ${\cal M\kern-1pt L}_{\omega_1}$
inferred← citeshttps://doi.org/10.2307/2270256openalex-snapshot
Infinitary analogs of theorems from first order model theory
inferred← citeshttps://doi.org/10.2307/2272730openalex-snapshot
Infinitary formulas preserved under unions of models
inferred← citeshttps://doi.org/10.2969/jmsj/02510027openalex-snapshot
Model theory on a positive second order logic with countable conjunctions and disjunctions
inferred← citeshttps://doi.org/10.4288/jafpos1956.4.85openalex-snapshot
Interpolation Theorem and Characterization Theorem
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