〈a, b | aba=aab, bab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. bab ⇒ a²
2. a²b ⇒ aba
3. aba² ⇒ ba³
4. b²a³ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)