Title
Completeness by Forcing
Abstract
The completeness of the infinitary language Lω1,ω was proved by Carol Karp in 1964.We express and prove the completeness of infinitary first-order logics in the institution-independent setting by using forcing, a powerful method for constructing models. As a consequence of this abstraction, the completeness theorem becomes available for the infinitary versions of many ‘first order’ logical systems that appear in the area of logic or computer science.
Year
DOI
Venue
2010
10.1093/logcom/exq012
J. Log. Comput.
Keywords
Field
DocType
infinitary version,infinitary language,powerful method,logical system,infinitary first-order logic,computer science,carol karp,completeness theorem
Discrete mathematics,Abstraction,Gödel's completeness theorem,First order,Forcing (mathematics),Completeness (statistics),Calculus,Mathematics
Journal
Volume
Issue
ISSN
20
6
0955-792X
Citations 
PageRank 
References 
3
0.37
9
Authors
2
Name
Order
Citations
PageRank
Daniel Găină1425.30
Marius Petria2182.04