〈a, b | bab=aaa, bba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. b²a ⇒ ba
2. a³ ⇒ bab
3. (ab)² ⇒ (ba)²
4. baba²b ⇒ baba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)