Article ID Journal Published Year Pages File Type
4662423 Annals of Pure and Applied Logic 2006 30 Pages PDF
Abstract

We generalise the concept of clique width to structures of arbitrary signature and cardinality. We present characterisations of clique width in terms of decompositions of a structure and via interpretations in trees. Several model-theoretic properties of clique width are investigated including VC-dimension and preservation of finite clique width under elementary extensions and compactness.

Related Topics
Physical Sciences and Engineering Mathematics Logic