〈a, b | aba=bb, aaaa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁵ ⇒ a⁷
2. aba ⇒ a⁴
3. a⁴b ⇒ ba⁴
4. b² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)