File:RegexComplementBlowup.png

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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. 325–336
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)*

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8 February 2021

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current11:11, 10 February 2021Thumbnail for version as of 11:11, 10 February 20211,842 × 323 (4 KB)Jochen BurghardtUploaded own work with UploadWizard
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