A note on first-order projections and games

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Title:	A note on first-order projections and games
Author:	Arratia Quesada, Argimiro Alejandro; Stewart, Iain A.
Other authors:	Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics
Abstract:	We show how the fact that there is a first-order projection with successor from the problem TC (transitive clousure) to some other problem Ω enables us to automatically deduce that a natural game problem, LGΩ, whose instances are labelled instances of Ω is complete for PSPACE (via log-space reductions). Our analysis is strongly dependent upon the reduction from TC to Ω 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 with successor.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Informàtica -Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs -Game theory -Jocs, Teoria de
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Document type:	Article - Submitted version Article
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