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A Structural Lemma for Deterministic Context-Free Languages

P. 553–565.
Rubtsov A. A.

We present a new structural lemma for deterministic con- text free languages. From the first sight, it looks like a pumping lemma, because it is also based on iteration properties, but it has significant distinctions that makes it much easier to apply. The structural lemma is a combinatorial analogue of KC-DCF-Lemma (based on Kolmogorov complexity), presented by Li and Vit ́anyi in 1995 and corrected by Glier in 2003. The structural lemma allows not only to prove that a language is not a DCFL, but discloses the structure of DCFLs Myhill-Nerode classes.

Language: English
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Keywords: колмогоровская сложностьKolmogorov complexityтеория автоматовautomata theoryформальные языкиformal languages
Publication based on the results of:
Теоретическая информатика (2018)

In book

Developments in Language Theory 22nd International Conference, DLT 2018, Tokyo, Japan, September 10-14, 2018, Proceedings
Developments in Language Theory 22nd International Conference, DLT 2018, Tokyo, Japan, September 10-14, 2018, Proceedings
Cham: Springer, 2018.
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