File:RegexComplementBlowup.png

Summary

Description
English: Regular expression over the alphabet { 0, 1, S, E } whose complement expression has a length of about 232. "e" denotes the empty string. The example has been constructed from Thm.4.1, p.332 of: Wouter Gelade and Frank Neven (2008) "Succinctness of the Complement and Intersection of Regular Expressions" in Proc. 25th Ann. Symp. on the Theoretical Aspects of Computer Science (STACS), pp. 325336
Date
Source Own work
Author Jochen Burghardt
Ascii source
(e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E))))))
+       
(e+(0+1)(e+(0+1)(e+(0+1)(e+(0+1))))) (S+E) (0+1+S+E)*
+       
(0+1)(0+1)(0+1)(0+1)(0+1) (0+1+E) (0+1+S+E)*

+       

(0+1+S+E)* S ( (e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E))))) (S+E) + (0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E) (0+1+S) ) (0+1+S+E)*

+       

(0+1+S+E)* E ( (e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E)(e+(0+1+S+E))))) (S+E) + (0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E) (0+1+E) ) (0+1+S+E)*

+       

(0+1+S+E)* (0+1+S) 

+       

( (0+1)* + (0+1+S+E)* E (0+1)* ) 0 (0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E) 1 (0+1+S+E)*                  
+       
( (0+1)* + (0+1+S+E)* E (0+1)* ) 1 (0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E)(0+1+S+E) 0 (0+1+S+E)*

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-4.0#RegexComplementBlowup.png
Category:Self-published work Category:Files by User:Jochen Burghardt Category:Regex Category:Computational complexity theory
Category:CC-BY-SA-4.0 Category:Computational complexity theory Category:Files by User:Jochen Burghardt Category:Pages with non-numeric formatnum arguments Category:Regex Category:Self-published work