〈a, b | aba=aa, aaab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a²
2. ba ⇒ a³
3. a²b ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)