Semi-synchronous transductions

Vince Barany

abstract

Semi-synchronously rational relations generalise synchronised rational relations in a natural way. We discuss here some of their basic properties, among them a "Cobham-Semenov-like" dichotomy theorem. Our main result is a characterisation of bijective semi-synchronously rational transductions as those bijections mapping regular relations to regular ones and non-regular relations to non-regular ones.

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DOI (10.1007/s00236-008-0083-2)

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