〈a, b | aba=a, bbbb=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b⁴
2. ab⁴ ⇒ ab
3. bab ⇒ b⁴
4. b⁴a ⇒ ba
5. aba ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)