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Diskretnaya Matematika, 2018, Volume 30, Issue 3, Pages 40–47
DOI: https://doi.org/10.4213/dm1482 (Mi dm1482) 		 
Periodic properties of pushdown automata

I. E. Ivanov

Huawei Technologies Co., Ltd.
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DOI: https://doi.org/10.4213/dm1482
Abstract: Finite automata transform periodic sequences into periodic ones. The period of the output sequence is bounded from above by a linear function of input period. It is known that pushdown automata also preserve the set of periodic sequences. We prove that the output period for one-counter pushdown automata is bounded from above by a quadratic function of input period. We also give an example of an automaton with a quadratic lower bound on output period.
Keywords: pushdown automaton, one-counter pushdown automaton, periodic sequence.
Received: 03.11.2017
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 6, Pages 351–356
DOI: https://doi.org/10.1515/dma-2019-0033
Bibliographic databases:
Document Type: Article
UDC: 519.713.2
Language: Russian
Citation: I. E. Ivanov, “Periodic properties of pushdown automata”, Diskr. Mat., 30:3 (2018), 40–47; Discrete Math. Appl., 29:6 (2019), 351–356
Citation in format AMSBIB
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    		Дискретная математика
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    References:31
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