〈a, b | aaa=a, bbbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b⁵
2. ab⁵ ⇒ a
3. b⁵a ⇒ a
4. a² ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)