〈a, b | aaa=1, ababa=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁴a ⇒ ab⁴
2. (ba)² ⇒ a²b³
3. b³a² ⇒ (ab)²
4. a³ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)