〈a, b | aba=bb, bbbb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ b²
2. b²a ⇒ ab²
3. a²b² ⇒ b³
4. bab² ⇒ ab³
5. b⁴ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)