〈a, b | aaaa=1, abbbb=ba〉

Properties

• Finite non-commutative monoid with 1024 elements

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b²⁵⁶ ⇒ b
2. ba ⇒ ab⁴
3. a⁴ ⇒ 1

Idempotents

• 1
• b²⁵⁵

Right Cayley graph

Left Cayley graph