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Infinitary analogs of theorems from first order model theory

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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/10.2307/2270908openalex-snapshot
On the model theory of denumerably long formulas with finite strings of quantifiers
inferredcites →https://doi.org/10.2307/2271066openalex-snapshot
An extension of the Craig-Lyndon interpolation theorem
inferredcites →https://doi.org/10.2969/jmsj/01340357openalex-snapshot
A formal system of first-order predicate calculus with infinitely long expressions
inferredcites →https://doi.org/10.4064/fm-43-1-50-68openalex-snapshot
Models of axiomatic theories admitting automorphisms
inferredcites →https://doi.org/10.4064/fm-47-1-57-103openalex-snapshot
The first order properties of products of algebraic systems
inferredcites →https://doi.org/10.4064/fm-57-3-253-272openalex-snapshot
An interpolation theorem for denumerably long formulas
inferredcites →https://doi.org/10.4064/fm-59-1-13-21openalex-snapshot
On defining well-orderings
inferredcites →https://doi.org/10.4064/fm-59-3-299-300openalex-snapshot
An addition to "On defining well-orderings"

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf02762675openalex-snapshot
Beth’s theorem in cardinality logics
inferred← citeshttps://doi.org/10.1007/bf02834760openalex-snapshot
Model theory via set theory
inferred← citeshttps://doi.org/10.1007/bfb0081120openalex-snapshot
Back-and-forth arguments and infinitary logics
inferred← citeshttps://doi.org/10.1007/s00153-004-0248-9openalex-snapshot
Definability and automorphisms in abstract logics
inferred← citeshttps://doi.org/10.1007/s11229-008-9357-zopenalex-snapshot
The Craig Interpolation Theorem in abstract model theory
inferred← citeshttps://doi.org/10.1016/0003-4843(76)90021-8openalex-snapshot
δ-Logics and generalized quantifiers
inferred← citeshttps://doi.org/10.1016/0003-4843(77)90010-9openalex-snapshot
Countable approximations and Löwenheim-Skolem theorems
inferred← citeshttps://doi.org/10.1016/0003-4843(78)90003-7openalex-snapshot
Stationary logic
inferred← citeshttps://doi.org/10.1016/0003-4843(82)90021-3openalex-snapshot
Compactness, interpolation and Friedman's third problem
inferred← citeshttps://doi.org/10.1016/j.apal.2003.11.002openalex-snapshot
Algorithmic uses of the Feferman–Vaught Theorem
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70918-2openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71103-0openalex-snapshot
Admissible Sets and Infinitary Logic
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71999-2openalex-snapshot
Uniform Theorems in Infinitary Locic
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70657-3openalex-snapshot
How to Obtain Interpolation for L
inferred← citeshttps://doi.org/10.1017/bsl.2021.42openalex-snapshot
LOGICALITY AND MODEL CLASSES
inferred← citeshttps://doi.org/10.1017/bsl.2023.1openalex-snapshot
WHICH CLASSES OF STRUCTURES ARE BOTH PSEUDO-ELEMENTARY AND DEFINABLE BY AN INFINITARY SENTENCE?
inferred← citeshttps://doi.org/10.1017/jsl.2023.19openalex-snapshot
INFINITARY LOGIC HAS NO EXPRESSIVE EFFICIENCY OVER FINITARY LOGIC
inferred← citeshttps://doi.org/10.1017/s0022481200065518openalex-snapshot
Scott's interpolation theorem fails for Lω1, ω
inferred← citeshttps://doi.org/10.1017/s0027763000015841openalex-snapshot
A heterogeneous interpolant
inferred← citeshttps://doi.org/10.1090/s0002-9939-1976-0421982-4openalex-snapshot
On the Failure of the Weak Beth Property
inferred← citeshttps://doi.org/10.1090/s0002-9947-1979-0546916-0openalex-snapshot
The theorems of Beth and Craig in abstract model theory. I. The abstract setting
inferred← citeshttps://doi.org/10.1093/logcom/exac043openalex-snapshot
Projective classes as images of accessible functors
inferred← citeshttps://doi.org/10.1142/s0219061311001006openalex-snapshot
CHAIN MODELS, TREES OF SINGULAR CARDINALITY AND DYNAMIC EF-GAMES
inferred← citeshttps://doi.org/10.1305/ndjfl/1093637937openalex-snapshot
A unified approach to relative interpolation.
inferred← citeshttps://doi.org/10.2307/1971037openalex-snapshot
The Monadic Theory of Order
inferred← citeshttps://doi.org/10.2307/2271891openalex-snapshot
One hundred and two problems in mathematical logic
inferred← citeshttps://doi.org/10.2307/2273033openalex-snapshot
Weak definability in infinitary languages
inferred← citeshttps://doi.org/10.2307/2273188openalex-snapshot
Beth's property fails in L<ω
inferred← citeshttps://doi.org/10.2307/2273956openalex-snapshot
Pragmatic truth and approximation to truth
inferred← citeshttps://doi.org/10.2307/2274705openalex-snapshot
A direct proof of the Feferman-Vaught theorem and other preservation theorems in products
inferred← citeshttps://doi.org/10.2307/2586505openalex-snapshot
Interpolation and preservation for pebble logics
inferred← citeshttps://doi.org/10.2307/2586507openalex-snapshot
Interpolation, preservation, and pebble games
inferred← citeshttps://doi.org/10.4467/20842589rm.15.001.3910openalex-snapshot
Interpolation theorems for some variants of LTL
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