Complement of $a^n b^n c^n$ I am trying to find the complement of the language $L = \{ a^n b^n c^n \mid n \ge 0\}$. 

I know that one of the things I gotta do is take out $n \ge 0$ so $\{a^n b^n c^n \mid n &gt; 0\}$ but I feel there is not enough.Is making it so $a^i b^j c^k$ so that $i \neq j \neq k$ enough and make it so that $i,j,k &gt; 0$? 

Or am I completely off track?
The complement is the set of all strings over alphabet $\{a,b,c\}$ that are not of the form $a^i b^i c^i$ for some $i\geq 0$.  That includes all strings $a^ib^jc^k$ where $i\neq j$, $i\neq k$ and/or $j\neq k$, as you say, but also some other strings.  Mouse-over the box below for a hint.


   For example, $bacbabc$ is in the complement.