〈a, b | aaa=a, bbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

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

Right Cayley graph (truncated)

Left Cayley graph (truncated)