Konferenzpaper

Language operations with regular expressions of polynomial size


AutorenlisteGruber, Hermann; Holzer, Markus

Jahr der Veröffentlichung2009

Seiten3281-3289

ZeitschriftTheoretical Computer Science

Bandnummer410

Heftnummer35

ISSN0304-3975

DOI Linkhttps://doi.org/10.1016/j.tcs.2009.04.009

Konferenz10th International Workshop on Descriptional Complexity of Formal Systems

VerlagElsevier


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-ZitierstilGruber, 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-ZitierstilGruber, 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


AUTOMATACircular shiftCyclic shiftLanguage quotientRegular expressionsState complexity


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