〈a, b | aaa=1, abbaab=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b³
2. bab² ⇒ ab⁴
3. ba²b² ⇒ a²b⁶
4. b²a²b ⇒ a²b²
5. a³ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)