Iteration of rational transductions

The purpose of this paper is to show connections between iterated length-preserving rational transductions and linear space computations. Hence, we study the smallest family of transductions containing lengthpreserving rational transductions and closed under union, composition and iteration. We give several characterizations of this class using restricted classes of length-preserving rational transductions, by showing the connections with \context-sensitive transductions" and transductions associated with recognizable picture languages.

• Type: Journal
• Year: 2000
• Where: ITA
• Authors: Alain Terlutte, David Simplot
• Keywords: Communications, ITA 2000, Length-preserving Rational Transductions, Rational Transductions, Smallest Family