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Archive for Mathematical Logic
Article . 1981 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1981
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Article . 1981
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https://dx.doi.org/10.1007/bf0...
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The theorems of beth and Craig in abstract model theory II. Compact logics

The theorems of Beth and Craig in abstract model theory. II. Compact logics
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 Germany English Publisher:Springer Science and Business Media LLCJournal:Archiv für Mathematische Logik und Grundlagenforschung, volume 21, pages 13-35 (issn: 0933-5846, eissn: 1432-0665, Copyright policy )
Authors: Shelah, S.; Makowsky, J.A.;

doi: 10.1007/bf02011631

The theorems of beth and Craig in abstract model theory II. Compact logics

Abstract

Various compact logics such as stationary logic, positive logic, logics with various cardinality quantifiers and cofinality quantifiers are studied. Counterexamples to the theorems of Beth and Craig are given. Back and forth arguments are studied for the first two logics, transfer theorems presented for positive logic and a new compactness proof for the confinality quantifiers is given.

Country
Germany
Related Organizations
Keywords

510.mathematics, Models with special properties (saturated, rigid, etc.), Abstract model theory, stationary logic, Interpolation, preservation, definability, Article

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Average
Green