Paper Info
Title
Successor-Invariance in the Finite
Abstract
A first-order sentence \theta of vocabulary \sigma \cup {S} issuccessor-invariant in the finite if for every finite \sigma-structureM and successor relations S1 and S2 on M,(M,S1) \models \theta \iff (M, S2) \models \theta.In this paper I give an example of a non-first-order definableclass of finite structures which is, however, defined bya successor-invariant first-order sentence. This strengthensa corresponding result for order-invariance in the finite, dueto Y. Gurevich.
Year
DOI
Venue
2003
10.1109/LICS.2003.1210054
LICS
Keywords
Field
DocType
first-order sentence,successor relations s1,non-first-order definableclass,strengthensa corresponding result,bya successor-invariant first-order sentence,finite structure,dueto y. gurevich,computer science,first order,interpolation,relational databases,database languages,formal logic,logic
Discrete mathematics,Combinatorics,Invariant (physics),Successor cardinal,Sigma,Sentence,Mathematics
Conference
ISSN
ISBN
Citations 
1043-6871
0-7695-1884-2
7
PageRank 
References 
Authors
0.69
3
1
Name
Order
Citations
PageRank
Benjamin Rossman129820.00