Abstract
We study proper languages of (strongly) lexicalized FRR-automata, which are a theoretical model for the analysis by reduction that is used in structural analysis of (natural) languages. We obtain two variants of a two-dimensional hierarchy of language classes based on two types of constraints: (1) the number of rewrite operations per cycle, and (2) the number of occurrences of auxiliary symbols (categories) in the sentences (words) of the corresponding characteristic language. The former type of constraints models non-local valences (dependencies), and the latter type models the use of categories during syntactic disambiguation of the sentence being analyzed.
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Otto, F., Plátek, M. (2008). A Two-Dimensional Taxonomy of Proper Languages of Lexicalized FRR-Automata. In: Martín-Vide, C., Otto, F., Fernau, H. (eds) Language and Automata Theory and Applications. LATA 2008. Lecture Notes in Computer Science, vol 5196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88282-4_37
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DOI: https://doi.org/10.1007/978-3-540-88282-4_37
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