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17th Annual IEEE Symposium on Logic in Computer Science (LICS'02)
Some Results on Automatic Structures
Copenhagen, Denmark
July 22-July 25
ISBN: 0-7695-1483-9
Hajime Ishihara, Japan Advanced Institute of Science and Technology
Bakhadyr Khoussainov, University of Auckland
Sasha Rubin, University of Auckland
We study the class of countable structures which can be presented by synchronous finite automata. We reduce the problem of existence of an automatic presentation of a structure to that for a graph. We exhibit a series of properties of automatic equivalence structures, linearly ordered sets and permutation structures. These serve as a first step in producing practical descriptions of some automatic structures or illuminating the complexity of doing so for others.
Citation:
Hajime Ishihara, Bakhadyr Khoussainov, Sasha Rubin, "Some Results on Automatic Structures," lics, pp.235, 17th Annual IEEE Symposium on Logic in Computer Science (LICS'02), 2002
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