Deciding the isomorphism problem in classes of unary automatic structures

Date
2011-04-15
Authors
Liu, JL
Minnes, M
Supervisor
Item type
Journal Article
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract

We solve the isomorphism problem for certain classes of unary automatic structures: unary automatic equivalence relations, unary automatic linear orders, and unary automatic trees. That is, we provide algorithms which decide whether two given elements of these classes are isomorphic. In doing so, we define new finite representations for these structures which give normal forms.

Description
Keywords
Unary automatic structures , The isomorphism problem , Graphs
Source
Theoretical Computer Science, vol.412(18), pp.1705 - 1717
Rights statement
Copyright © 2011 Elsevier Ltd. All rights reserved. This is the author’s version of a work that was accepted for publication in (see Citation). Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. The definitive version was published in (see Citation). The original publication is available at (see Publisher's Version)