〈a, b | aaba=a, babab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. aba ⇒ a²
3. ba²b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)