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ORDER
2010
101views more  ORDER 2010»
13 years 3 months ago
Definability in Substructure Orderings, II: Finite Ordered Sets
Let P be the ordered set of isomorphism types of finite ordered sets (posets), where the ordering is by embeddability. We study first-order definability in this ordered set. We ...
Jaroslav Jezek, Ralph McKenzie
PODS
2004
ACM
158views Database» more  PODS 2004»
14 years 5 months ago
Composing Schema Mappings: Second-Order Dependencies to the Rescue
A schema mapping is a specification that describes how data structured under one schema (the source schema) is to be transformed into data structured under a different schema (the...
Ronald Fagin, Phokion G. Kolaitis, Lucian Popa, Wa...
ORDER
2006
128views more  ORDER 2006»
13 years 4 months ago
Algebras Defined from Ordered Sets and the Varieties they Generate
We investigate ways of representing ordered sets as algebras and how the order relation is reflected in the algebraic properties of the variety (equational class) generated by the...
Joel Berman, Willem J. Blok
AAAI
2010
13 years 5 months ago
First-Order Indefinability of Answer Set Programs on Finite Structures
An answer set program with variables is first-order definable on finite structures if the set of its finite answer sets can be captured by a first-order sentence, otherwise this p...
Yin Chen, Yan Zhang, Yi Zhou
JSYML
2008
105views more  JSYML 2008»
13 years 4 months ago
Finite state automata and monadic definability of singular cardinals
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
Itay Neeman