〈a, b | aba=ab, bbbb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁸ ⇒ b⁵
2. ab⁴ ⇒ ab
3. ba ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)