lemmaLemma 6.2Even-palindrome identityLemma 6.2 (Even-palindrome identity). For every binary word xxx, 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}.x∈{wwR:w∈{0,1}∗}⟺x=xR and ∣x∣ is even. The equivalence includes x=εx=\varepsilonx=ε.
Lemma 6.2 (Even-palindrome identity). For every binary word xxx, 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}.x∈{wwR:w∈{0,1}∗}⟺x=xR and ∣x∣ is even. The equivalence includes x=εx=\varepsilonx=ε.