Iterated length-preserving rational transductions
The purpose of this paper is the study of the smallest family of transductions containing length-preserving rational transductions and closed under union, composition and iteration. We give several characterizations of this class using restricted classes of length-preserving transductions, by showing the connections with “context-sensitive transductions” and transductions associated with recognizable picture languages. We also study the class obtained by only using length-preserving rational functions and we show the relations with “deterministic context-sensitive transductions”.
Unable to display preview. Download preview PDF.
- 5.Giammarresi, D., and Restivo, A.: Two-dimensional languages. In Handbook of Formal Languages, A. Salomaa and G. Rozenberg, Eds., vol. 3. Springer-Verlag, Berlin, 1997, pp. 215–267.Google Scholar
- 9.Latteux, M., Simplot, D., and Terlutte, A.: Iterated length-preserving transductions. Tech. Rep. it-312, L.I.F.L., Univ. Lille 1 France, March 1998.Google Scholar