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A note on first-order projections and games
Arratia Quesada, Argimiro Alejandro; Stewart, Iain A.
Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics
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.
Peer Reviewed
Àrees temàtiques de la UPC::Informàtica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
Game theory
Jocs, Teoria de
info:eu-repo/semantics/submittedVersion
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