Abstract | ||
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Context-free grammars are not able to capture cross-serial dependencies occurring in some natural languages. To overcome this issue, Seki et al. introduced a generalization called m-multiple context-free grammars (m-MCFGs), which deal with m-tuples of strings. We show that m-MCFGs are capable of comparing the number of consecutive occurrences of at most 2m different letters. In particular, the language {a(1)(n1)a(2)(n2) ... a(2m+1)(n2m+1) vertical bar n(1) >= n(2) >= ... >= n(2m+1) >= 0} is (m + 1)-multiple context-free, but not m-multiple context-free. (C) 2021 Elsevier B.V. All rights reserved. |
Year | DOI | Venue |
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2021 | 10.1016/j.tcs.2021.03.034 | THEORETICAL COMPUTER SCIENCE |
Keywords | DocType | Volume |
Formal language, Multiple context free language | Journal | 868 |
ISSN | Citations | PageRank |
0304-3975 | 0 | 0.34 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Florian Lehner | 1 | 21 | 7.24 |
Lindorfer Christian | 2 | 0 | 0.34 |