〈a, b | abb=aaa, baa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁴ ⇒ b³
2. b²a ⇒ bab²
3. abab² ⇒ a²b²
4. ba² ⇒ b²
5. a³ ⇒ ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)