〈a, b | aa=a, bbbb=abba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. a² ⇒ a
2. ab²a ⇒ b⁴
3. b⁴a ⇒ b⁴
4. ab⁴ ⇒ b⁴
5. b⁸ ⇒ b⁶

Right Cayley graph (truncated)

Left Cayley graph (truncated)