Abstract
The power of tree series transducers of type I and II is studied for IO as well as OI tree series substitution. More precisely, it is shown that the IO tree series transformations of type I (respectively, type II) are characterized by the composition of homomorphism top-down IO tree series transformations with bottom-up (respectively, linear bottom-up) IO tree series transformations. On the other hand, polynomial OI tree series transducers of type I and II and top-down OI tree series transducers are equally powerful.
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Maletti, A. (2005). The Power of Tree Series Transducers of Type I and II. In: De Felice, C., Restivo, A. (eds) Developments in Language Theory. DLT 2005. Lecture Notes in Computer Science, vol 3572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505877_30
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DOI: https://doi.org/10.1007/11505877_30
Publisher Name: Springer, Berlin, Heidelberg
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