〈a, b | aba=aaa, bab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. bab ⇒ ab
2. a³ ⇒ aba
3. ba²b ⇒ a²b
4. a²ba ⇒ aba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)