〈a, b | aba=a, aaaa=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b³
2. ab³ ⇒ b⁹
3. b³a ⇒ b⁹
4. aba ⇒ a
5. a⁴ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)