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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.

Journal
Acta Informatica
Publisher
Springer
Year
2008