Title
On ultrafilters and NP
Abstract
We further develop the Fusion Method by exploringits similarities with the Ultraproduct Constructionin Model Theory. We use this analogy to re-prove aresult of Sipser regarding countable circuits, in a simplerway. In the finite case this analogy allows us togive a new characterization of co-NP in terms of theCLIQUE function. This gives a natural interpretationto the NP-completeness of the CLIQUE function.IntroductionIn this paper we further develop the analogy betweenRazborov's...
Year
DOI
Venue
1994
10.1109/SCT.1994.315813
Structure in Complexity Theory Conference
Keywords
Field
DocType
computational complexity,filtering and prediction theory,modelling,networks (circuits),switching functions,CLIQUE function,NP-completeness,co-NP,countable circuits,fusion method,model theory,ultrafilters,ultraproduct construction
Ultraproduct,Discrete mathematics,Combinatorics,Countable set,Clique,Analogy,Model theory,Mathematics,Computational complexity theory
Conference
ISSN
ISBN
Citations 
1063-6870
0-8186-5670-0
2
PageRank 
References 
Authors
0.48
7
3
Name
Order
Citations
PageRank
Shai Ben-David12584351.84
Mauricio Karchmer257154.29
Eyal Kushilevitz320.48