enter image description here

The book that I'm reading says it is equivalent

But what about the aa string ? i produce it this way :

$$ S\Rightarrow S_1B\Rightarrow aS_1bB\Rightarrow aaB\Rightarrow aa $$ But that language doesn't have aa in it, what am i doing wrong here?

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    $\begingroup$ Could you please replace the image with text? $\endgroup$ – fade2black Sep 27 '17 at 16:52
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    $\begingroup$ Is it common to typeset one and zero like that? $\endgroup$ – Tomoki Sep 27 '17 at 16:54
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    $\begingroup$ Your derivation is correct. If you quoted correctly, the book is wrong. $\endgroup$ – Rick Decker Sep 27 '17 at 16:55
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    $\begingroup$ Welcome to Computer Science! Note that you can use LaTeX here to typeset mathematics in a more readable way. See here for a short introduction. $\endgroup$ – Raphael Sep 27 '17 at 17:07
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    $\begingroup$ You can try proving the claim and see how it goes. $\endgroup$ – Raphael Sep 27 '17 at 17:07

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