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Given:

$$ \Sigma = \{ a, b, c \}. $$

I am trying to give the inductive definitions of both the set of strings $\Sigma^*$ and $\Sigma^+$.

Thank you.

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    And what is the 'set of strings $\sigma^*$' and what is the 'set of strings $\sigma^+$' ? And more imporatntly, what is your **question**? This isn't facebook, you don't need to give us a status update to let us know what you are doing.2011-03-24
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    Sigma* and Sigma+ aren't given. The question is what are the inductive definitions of both Sigma* and Sigma+. I now realise the wording of the question is suspect and I apologise.2011-03-24
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    There must be a *definition* of what it means, in general, to have "sigma*" and "sigma+". Otherwise, they are just words with no meaning, and you cannot give a definition, inductive or otherwise, for words with no meaning.2011-03-24

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