〈a, b | aaaa=a, babbb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b²⁸a ⇒ a
2. ab³ ⇒ b²⁷a
3. aba ⇒ b⁹a²
4. ab²a ⇒ b¹⁸a²
5. a⁴ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)