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First-order logic and its extensions

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What this work says

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

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Hanf numbers and well-ordering numbers
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Hanf numbers for fragments of ℶ h (A)
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A note on the elementary theory of finite abelian groups
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Infinitary properties, local functors, and systems of ordinal functions
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Descriptive set theory in $$L_{\omega _l \omega }$$
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Vaught sentences and Lindström's regular relations
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Lectures on proof theory
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Some remarks on the model theory of infinitary languages
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Absolute logics and L∞ω
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Axioms for abstract model theory
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FINITE-QUANTIFIER EQUIVALENCE
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Distributive Normal Forms in First-Order Logic
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Model Theory For Infinitary Logic
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A partition calculus in set theory
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On Relations between Structures
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First Order Predicate Logic with Generalized Quantifiers
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On Extensions of Elementary Logic
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The Hanf number of second order logic
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Finite Axiomatizability using additional predicates
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Incompactness in languages with infinitely long expressions
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Skolem-type normal forms for first-order languages with a generalized quantifier
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On defining well-orderings
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Svenonius sentences and Lindström's theory on preservation theorems
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Two notes on abstract model theory. I. Properties invariant on the range of definable relations between structures

What points at this work

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

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Applications of Many‐Sorted Robinson Consistency Theorem
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Duality for Compact Logics and Substitution in Abstract Model Theory
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A Logical Viewpoint on Process-Algebraic Quotients
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On the Ehrenfeucht-Fraïssé game in theoretical computer science
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Topological Model Theory
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Elementary Predicate Logic
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Elementary extensions of topological models in L t language
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The theory of successor with an extra predicate
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Some model theory for monotone quantifiers
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A unifying approach to theorems on preservation and interpolation for binary relations between structures
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On the elementary theory of inductive order
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Interpolation, compactness and JEP in soft model theory
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Elementary properties of free extensions
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A group-theoretical invariant for elementary equivalence and its role in representations of elementary classes
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On the preservation of elementary equivalence and embedding by bounded filtered powers and structures of stable continuous functions
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On bounded theories
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Part I
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Bi-Simulating in Bi-Intuitionistic Logic
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Compactness, interpolation and Friedman's third problem
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Existentially closed linear groups
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Positive results in abstract model theory: a theory of compact logics
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The model-theoretic structure of abelian group rings
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Löwenheim-Skolem Theorems
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Lindström theorems in graded model theory
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A Lindström theorem for intuitionistic first-order logic
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The complexity of the validity problem for dynamic logic
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Model Theoretic Issues in Theoretical Computer Science, Part I: Relational Data Bases and Abstract Data Types
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Compactness Properties of Infinitary and Abstract Languages
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Back-and-Forth Systems for Arbitrary Quantifiers
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The theorems of Beth and Craig in abstract model theory. I. The abstract setting
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Robinson's Consistency Theorem in Soft Model Theory
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Duality Between Logics and Equivalence Relations
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A Lindström-style theorem for finitary propositional weak entailment languages with absurdity
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Towards automated reasoning in Herbrand structures
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An Algebraic Preservation Theorem for Aleph-Zero Categorical Quantified Constraint Satisfaction
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A Lindström Theorem for Intuitionistic Propositional Logic
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Stability for pairs of equivalence relations.
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An Algebraic Preservation Theorem for Aleph-Zero Categorical Quantified Constraint Satisfaction
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An algebraic result about soft model theoretical equivalence relations with an application to H. Friedman's fourth problem
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