Fasciculus:RegexComplementBlowup.png

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Summarium

Descriptio
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
Datum
Fons Opus proprium
Auctor 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)*

Potestas usoris

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8 Februarii 2021

Historia fasciculi

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