Konferenzpaper
Autorenliste: Gruber, Hermann; Holzer, Markus
Jahr der Veröffentlichung: 2009
Seiten: 3281-3289
Zeitschrift: Theoretical Computer Science
Bandnummer: 410
Heftnummer: 35
ISSN: 0304-3975
DOI Link: https://doi.org/10.1016/j.tcs.2009.04.009
Konferenz: 10th International Workshop on Descriptional Complexity of Formal Systems
Verlag: Elsevier
Abstract:
This work deals with questions regarding to what extent regularity-preserving language operations affect the descriptional complexity of regular expressions. Some language operations are identified which are feasible for regular expressions in the sense that the result of the operation call be represented as a regular expression of size polynomial in that of the operands. We prove that taking language quotients, in particular the prefix and suffix closures, of a regular set can incur at most a quadratic blow-up on the required expression size. The circular shift operation can cause only a cubic increase ill size and at least a quadratic bloat can be necessary in the worst case. (C) 2009 Elsevier B.V. All rights reserved.
Zitierstile
Harvard-Zitierstil: Gruber, H. and Holzer, M. (2009) Language operations with regular expressions of polynomial size, Theoretical Computer Science, 410(35), pp. 3281-3289. https://doi.org/10.1016/j.tcs.2009.04.009
APA-Zitierstil: Gruber, H., & Holzer, M. (2009). Language operations with regular expressions of polynomial size. Theoretical Computer Science. 410(35), 3281-3289. https://doi.org/10.1016/j.tcs.2009.04.009
Schlagwörter
AUTOMATA; Circular shift; Cyclic shift; Language quotient; Regular expressions; State complexity