I want to be able to describe the idea behind the pushdown automaton (no tables or diagrams).

So, I already know that L = {ww | w in (0,1)*} is not context free. Since CFL are not closed under complement its complement L' is a CFL. I also read somewhere that any odd word is part of L' (what about even length words?). So a pushdown automaton description could be: read one letter and put into stack, then read next letter and remove previous letter from stack. Do this until the end. If one letter is left in the stack at the end then word is odd length thus accept, else reject?

I want to be able to describe the idea behind the pushdown automaton (no tables or diagrams).

So, I already know that $L = \{ ww \mid w \text{ in } (0,1)^*\}$ is not context free. Since CFL are not closed under complement its complement $L'$ is a CFL. I also read somewhere that any odd word is part of $L'$ (what about even length words?). So a pushdown automaton description could be: read one letter and put into stack, then read next letter and remove previous letter from stack. Do this until the end. If one letter is left in the stack at the end then word is odd length thus accept, else reject?