Some results on automatic structures

H. Ishihara1, B. Khoussainov2, S. Rubin3
1School of Information Sciences, Japan Advanced Institute of Science and Technology, Japan
2Computer Science Department, University of Auckland, New Zealand
3Mathematics Department, University of Auckland, New Zealand

Tóm tắt

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.

Từ khóa

#Automata #Computer science #Mathematics #Terminology #Automatic logic units #Polynomials

Tài liệu tham khảo

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