What does it mean .TOC?

Question

"A regular expression denoting a language (set of strings) means it should generate all string in L and not generate any string not in L"

L is set of all strings not containing 100 as substring?

Comments

((10+1)*+(01+1)*+0*1*)(010)*

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I am asking simplification of above statement buddy . Please go through it .

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Given Language L : set of all strings not containing 100 as substring.

Think of L as set containing $\left\{0,1,00,01,10,11,000,001,010,011,101,110,111......\right\}$
It means the sel L contains string, which does not contain 100 as substring in it.

So regular expression denoting this language should generate exactly those string contained in the set L and should not generate those which does not belongs to set L.

Strings that does not belong to this set are $S = \left\{100, 0100, 1100, 01000,10000, 10100, 11000 .....\right\}$. The set S have all string of pattern $(0+1)^*100(0+1)^*$ which does not belong to L. It is compliment of L.