〈a, b | aa=a, bbbb=abab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a² ⇒ a
2. (ab)² ⇒ b⁴
3. ab⁴ ⇒ b⁴
4. b⁴ab ⇒ b⁵
5. b⁷ ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)