Konferenzpaper

The Boolean closure of linear context-free languages


AutorenlisteKutrib, M; Malcher, A; Wotschke, D

HerausgeberlisteCalude, CS; Claude, E; Dinneen, MJ

Jahr der Veröffentlichung2004

Seiten284-295

ZeitschriftLecture notes in computer science

Bandnummer3340

ISSN0302-9743

ISBN3-540-24014-4

Konferenz8th International Conference on Developments in Language Theory

VerlagSpringer

SerientitelLECTURE NOTES IN COMPUTER SCIENCE


Abstract
Closures of linear context-free languages under Boolean operations are investigated. The intersection closure and the complementation closure are incomparable. By closing these closures under further Boolean operations we obtain several new language families. The hierarchy obtained by such closures of closures is proper up to level four, where it collapses to the Boolean closure which, in turn, is incomparable with several closures of the family of context-free languages. The Boolean closure of the linear context-free languages is properly contained in the Boolean closure of the context-free languages. A characterization of a class of non-unary languages that cannot be expressed as a Boolean formula over the linear context-free languages is presented.



Zitierstile

Harvard-ZitierstilKutrib, M., Malcher, A. and Wotschke, D. (2004) The Boolean closure of linear context-free languages, Lecture notes in computer science (Schriftenreihe), 3340, pp. 284-295

APA-ZitierstilKutrib, M., Malcher, A., & Wotschke, D. (2004). The Boolean closure of linear context-free languages. Lecture notes in computer science (Schriftenreihe). 3340, 284-295.



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