Title : 
The Isomorphism Problem on Classes of Automatic Structures
         
        
            Author : 
Kuske, Dietrich ; Liu, Jiamou ; Lohrey, Markus
         
        
            Author_Institution : 
LaBRI, Univ. Bordeaux I, Bordeaux, France
         
        
        
        
        
        
            Abstract : 
Several new undecidability results on isomorphism problems for automatic structures are shown: (i) The isomorphism problem for automatic equivalence relations is Π10 -complete, (ii) The isomorphism problem for automatic trees of height n ≥ 2 is Π2n-30 -complete, (iii) The isomorphism problem for automatic linear orders is not arithmetical.
         
        
            Keywords : 
automata theory; equivalence classes; trees (mathematics); automatic equivalence relations; automatic structures; automatic trees; isomorphism problem; Automata; Boolean algebra; Construction industry; Human computer interaction; Pediatrics; Silicon; Terminology; arithmetical hierarchy; automatic structures; isomorphism problems;
         
        
        
        
            Conference_Titel : 
Logic in Computer Science (LICS), 2010 25th Annual IEEE Symposium on
         
        
            Conference_Location : 
Edinburgh
         
        
        
            Print_ISBN : 
978-1-4244-7588-9
         
        
            Electronic_ISBN : 
1043-6871
         
        
        
            DOI : 
10.1109/LICS.2010.10