〈a, b | aaa=a, abbba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b²
2. bab² ⇒ ab⁶
3. b²a ⇒ ab³
4. a²b² ⇒ b²
5. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)