lemma

Lemma 6.2

Even-palindrome identity

Lemma 6.2 (Even-palindrome identity). For every binary word xx, x∈{wwR:w∈{0,1}∗}⟺x=xR  and  ∣x∣ is even.x\in\{ww^R:w\in\{0,1\}^*\} \quad\Longleftrightarrow\quad x=x^R\ \text{ and }\ |x|\text{ is even}. The equivalence includes x=εx=\varepsilon.