The First-Order Theory of Ground Tree Rewrite Graphs

We prove that the complexity of the uniform first-order theory of ground tree rewrite graphs is in ATIME(2^{2^{poly(n)}},O(n)). Providing a matching lower bound, we show that there is some fixed ground tree rewrite graph whose first-order theory is hard for ATIME(2^{2^{poly(n)}},poly(n)) with respec...

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Bibliographic Details
Main Authors: Stefan Göller, Markus Lohrey
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2014-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1223/pdf