Context-free grammar

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Yeem

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Apr 19, 2010
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Aye, it's homework time.

But I simply don't get how to correctly display the context-free grammar for this context-free language:
L = { x | x ∈ {0,1}* and | x | = 3 }

Here's the regular expression:
(0+1)^3

I know I could probably get away with:
S -> 000 | 001 | 010 | 011 | 100 | 101 | 110 | 111

But that's major failure. So how do I express the '+' ?
More importantly, how do make the length exactly 3 ?

I seriously couldn't find this anywhere after searching for over 30 minutes.:thumbsdown:
 
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