〈a, b | aaaa=a, baabb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab¹⁸ ⇒ a
2. ba ⇒ ab¹⁰
3. a² ⇒ ab⁶

Right Cayley graph (truncated)

Left Cayley graph (truncated)