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Existential and Positive Theories of Equations in Graph Products

title Existential and Positive Theories of Equations in Graph Products
creator Diekert, Volker
Lohrey, Markus
date 2001
language eng
identifier  http://www.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=TR-2001-10&engl=1
description 20 pages
We prove that the existential theory of equations with normalized rational constraints in a fixed graph product of finite monoids, free monoids, and free groups is PSPACE-complete. Under certain restrictions this result also holds if the graph product is part of the input. As the second main result we prove that the positive theory of equations with recognizable constraints in graph products of finite and free groups is decidable.
publisher Stuttgart, Germany, Universität Stuttgart
type Text
Technical Report
source ftp://ftp.informatik.uni-stuttgart.de/pub/library/ncstrl.ustuttgart_fi/TR-2001-10/TR-2001-10.ps
contributor Theoretische Informatik (IFI)
format application/postscript
349868 Bytes
subject Grammars and Other Rewriting Systems (CR F.4.2)
Formal Languages (CR F.4.3)
relation Technical Report No. 2001/10