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Visibly Pushdown Languages over Sliding Windows

Author Moses Ganardi

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LIPIcs.STACS.2019.29.pdf
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Author Details

Moses Ganardi
  • Universität Siegen, Germany

Funding

The author is supported by the DFG project LO 748/13-1.

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Moses Ganardi. Visibly Pushdown Languages over Sliding Windows. In 36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 126, pp. 29:1-29:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.STACS.2019.29

Abstract

We investigate the class of visibly pushdown languages in the sliding window model. A sliding window algorithm for a language L receives a stream of symbols and has to decide at each time step whether the suffix of length n belongs to L or not. The window size n is either a fixed number (in the fixed-size model) or can be controlled by an adversary in a limited way (in the variable-size model). The main result of this paper states that for every visibly pushdown language the space complexity in the variable-size sliding window model is either constant, logarithmic or linear in the window size. This extends previous results for regular languages.

Subject Classification

ACM Subject Classification
  • Theory of computation → Streaming models
Keywords
  • visibly pushdown languages
  • sliding windows
  • rational transductions

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