JOURNAL ARTICLE

Weak definability in infinitary languages

Saharon Shelah

Year: 1973 Journal:   Journal of Symbolic Logic Vol: 38 (3)Pages: 399-404   Publisher: Cambridge University Press

Abstract

Abstract We shall prove that if a model of cardinality κ can be expanded to a model of a sentence ψ of by adding a suitable predicate in more than κ ways, then , it has a submodel of power μ which can be expanded to a model of ψ in > μ ways provided that λ , κ , μ satisfy suitable conditions.

Keywords:
Predicate (mathematical logic) Cardinality (data modeling) Expressive power Sentence Computer science Mathematics Discrete mathematics Theoretical computer science Artificial intelligence Programming language Data mining

Metrics

2
Cited By
0.53
FWCI (Field Weighted Citation Impact)
22
Refs
0.61
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Topics

Advanced Algebra and Logic
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Advanced Topology and Set Theory
Physical Sciences →  Mathematics →  Geometry and Topology
Logic, Reasoning, and Knowledge
Physical Sciences →  Computer Science →  Artificial Intelligence

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