〈a, b | aa=a, bbbbb=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b⁶
2. ab⁵ ⇒ b⁵
3. b⁵a ⇒ b⁵
4. a² ⇒ a
5. aba ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)