The isomorphism problem on classes of automatic structures
The isomorphism problem on classes of automatic structures
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Date
2010-07-11
Authors
Kuske, D
Liu, J
Lohrey, M
Supervisor
Item type
Conference Contribution
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE Computer Society
Abstract
Several new undecidability results on isomorphism problems for automatic structures are shown: (i) The isomorphism problem for automatic equivalence relations is \Pi^0_1-complete, (ii) The isomorphism problem for automatic trees of height n≥2 is \Pi^0_{2n-3}-complete, (iii) The isomorphism problem for automatic linear orders is not arithmetical.
Description
Keywords
Arithmetical hierarchy , Automatic structures , Isomorphism problems , Automata , Boolean algebra , Construction industry , Human computer interaction , Pediatrics , Silicon , Terminology
Source
Presentation at the 25th annual IEEE symposium on logic in computer science (LICS'10), Edinburgh, UK, pp. 160 - 169
Publisher's version
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