〈a, b | aaa=bb, bbbb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b²
2. ab² ⇒ b⁸
3. b²a ⇒ b⁸
4. a² ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)