Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

A note on first-order projections and games.

Arratia, A. A. and Stewart, I. A. (2003) 'A note on first-order projections and games.', Theoretical computer science., 290 (3). pp. 2085-2093.

Abstract

We show how the fact that there is a first-order projection from the problem TC (transitive closure) to some other problem $\Omega$ enables us to automatically deduce that a natural game problem, $\mathcal{LG}(\Omega)$, whose instances are labelled instances of $\Omega$, is complete for PSPACE (via log-space reductions). Our analysis is strongly dependent upon the reduction from TC to $\Omega$ being a logical projection in that it fails should the reduction be, for example, a log-space reduction or a quantifier-free first-order translation.

Item Type:Article
Keywords:Descriptive complexity, Finite model theory, Quantifier-free projections.
Full text:PDF - Accepted Version (185Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/S0304-3975(02)00491-7
Record Created:29 Jun 2009 15:35
Last Modified:10 Nov 2011 11:06

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Usage statisticsLook up in GoogleScholar | Find in a UK Library