〈a, b | aaaa=a, abbbb=b〉

Properties

• Finite non-commutative monoid with 40 elements

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b¹⁰ ⇒ b
2. ab ⇒ b⁷
3. a⁴ ⇒ a

Idempotents

• 1
• b⁹
• b³a
• b⁶a²
• a³
• b⁹a³

Right Cayley graph

Left Cayley graph