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18th Annual IEEE Symposium on Logic in Computer Science (LICS'03)
Successor-Invariance in the Finite
Ottawa, Canada
June 22-June 25
ISBN: 0-7695-1884-2
ASCII Text
x 
 
Benjamin Rossman, "Successor-Invariance in the Finite," Logic in Computer Science, Symposium on, pp. 148, 18th Annual IEEE Symposium on Logic in Computer Science (LICS'03), 2003.
 
 
BibTex
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@article{ 10.1109/LICS.2003.1210054,
author = {Benjamin Rossman},
title = {Successor-Invariance in the Finite},
journal ={Logic in Computer Science, Symposium on},
volume = {0},
year = {2003},
issn = {1043-6871},
pages = {148},
doi = {http://doi.ieeecomputersociety.org/10.1109/LICS.2003.1210054},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Logic in Computer Science, Symposium on
TI - Successor-Invariance in the Finite
SN - 1043-6871
SP
EP
A1 - Benjamin Rossman,
PY - 2003
KW - null
VL - 0
JA - Logic in Computer Science, Symposium on
ER -
 
A first-order sentence \theta of vocabulary \sigma \cup {S} is successor-invariant in the finite if for every finite \sigma-structure M 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 definable class of finite structures which is, however, defined by a successor-invariant first-order sentence. This strengthens a corresponding result for order-invariance in the finite, due to Y. Gurevich.
Citation:
Benjamin Rossman, "Successor-Invariance in the Finite," lics, pp.148, 18th Annual IEEE Symposium on Logic in Computer Science (LICS'03), 2003
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