Abstract
We introduce bag context, a device for regulated rewriting in tree grammars. Rather than being part of the developing tree, bag context (bc) evolves on its own during a derivation. We show that the class of bc tree languages is the closure of the class of random context tree languages under linear top-down tree transductions. Further, an interchange theorem for subtrees of dense trees in bc tree languages is established. This result implies that the class of bc tree languages is incomparable with the class of branching synchronization tree languages.
The work reported here has been part of the project Random Context in the Generation and Transformation of Trees funded by the National Research Foundation South Africa (NRF) and the Swedish International Development Cooperation Agency (Sida).
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Drewes, F., du Toit, C., Ewert, S., van der Merwe, B., van der Walt, A.P.J. (2006). Bag Context Tree Grammars . In: Ibarra, O.H., Dang, Z. (eds) Developments in Language Theory. DLT 2006. Lecture Notes in Computer Science, vol 4036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779148_21
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DOI: https://doi.org/10.1007/11779148_21
Publisher Name: Springer, Berlin, Heidelberg
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