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The isomorphism problem on classes of automatic structures

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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.

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Presentation at the 25th annual IEEE symposium on logic in computer science (LICS'10), Edinburgh, UK, pp. 160 - 169

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