On the strictness of the first-order quantifier structure hierarchy over finite structures

Yuguo He*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of Ehrenfeucht-Fraïssé games that characterizes quantifier classes over finite structures and prove that the fragments of first-order logic based on quantifier structures form a strict hierarchy in terms of their expressiveness over finite structures.

Original languageEnglish
Title of host publicationProceedings - 25th Annual IEEE Symposium on Logic in Computer Science, LICS 2010
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages170-178
Number of pages9
ISBN (Print)9780769541143
DOIs
Publication statusPublished - 2010
Event25th Annual IEEE Symposium on Logic in Computer Science, LICS 2010 - Edinburgh, United Kingdom
Duration: 11 Jul 201014 Jul 2010

Publication series

NameProceedings - Symposium on Logic in Computer Science
ISSN (Print)1043-6871

Conference

Conference25th Annual IEEE Symposium on Logic in Computer Science, LICS 2010
Country/TerritoryUnited Kingdom
CityEdinburgh
Period11/07/1014/07/10

Keywords

  • Ehrenfeucht-Fraïssé
  • Finite model theory
  • Games
  • Quantifier structure

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