〈a, b | abb=aaa, bbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁶ ⇒ b⁵
2. b⁴a ⇒ b³a
3. b³ab ⇒ b³a
4. ab² ⇒ b³a
5. a² ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)