He, Yuguo - On the strictness of the quantifier structure hierarchy in first-order logic

lmcs:965 - Logical Methods in Computer Science, November 13, 2014, Volume 10, Issue 4
On the strictness of the quantifier structure hierarchy in first-order logic

Authors: He, Yuguo

We study a natural hierarchy in first-order logic, namely the quantifier structure hierarchy, which gives a systematic classification of first-order formulas based on structural quantifier resource. We define a variant of Ehrenfeucht-Fraisse games that characterizes quantifier classes and use it to prove that this hierarchy is strict over finite structures, using strategy compositions. Moreover, we prove that this hierarchy is strict even over ordered finite structures, which is interesting in the context of descriptive complexity.


Source : oai:arXiv.org:1409.7488
DOI : 10.2168/LMCS-10(4:3)2014
Volume: Volume 10, Issue 4
Published on: November 13, 2014
Submitted on: January 6, 2011
Keywords: Computer Science - Logic in Computer Science


Share

Consultation statistics

This page has been seen 59 times.
This article's PDF has been downloaded 39 times.