DMCA
LTL is expressively complete for Mazurkiewicz Traces (2000)
by
Volker Diekert
,
Paul Gastin
| Citations: | 22 - 10 self |
BibTeX
@MISC{Diekert00ltlis,
author = {Volker Diekert and Paul Gastin},
title = {LTL is expressively complete for Mazurkiewicz Traces},
year = {2000}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
A long standing open problem in the theory of (Mazurkiewicz) traces has been the question whether LTL (Linear Time Logic) is expressively complete with respect to the rst order theory. We solve this problem positively for nite and in nite traces and for the simplest temporal logic, which is based only on next and until modalities. Similar results were established previously, but they were all weaker, since they used additional past or future modalities. Another feature of our work is that our proof is direct and does not use any reduction to the word case.
