Document Open Access Logo

Parsing Unary Boolean Grammars Using Online Convolution

Authors Alexander Okhotin, Christian Reitwießner



PDF
Thumbnail PDF

File

DagSemProc.10501.3.pdf
  • Filesize: 313 kB
  • 11 pages

Document Identifiers

Author Details

Alexander Okhotin
Christian Reitwießner

Cite AsGet BibTex

Alexander Okhotin and Christian Reitwießner. Parsing Unary Boolean Grammars Using Online Convolution. In Advances and Applications of Automata on Words and Trees. Dagstuhl Seminar Proceedings, Volume 10501, pp. 1-11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2011)
https://doi.org/10.4230/DagSemProc.10501.3

Abstract

In contrast to context-free grammars, the extension of these grammars by explicit conjunction, the so-called conjunctive grammars can generate (quite complicated) non-regular languages over a single-letter alphabet (DLT 2007). Given these expressibility results, we study the parsability of Boolean grammars, an extension of context-free grammars by conjunction and negation, over a unary alphabet and show that they can be parsed in time O(|G| log^2(n) M(n)) where M(n) is the time to multiply two n-bit integers. This multiplication algorithm is transformed into a convolution algorithm which in turn is converted to an online convolution algorithm which is used for the parsing.

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail