〈a, b | aba=aaa, bab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. aba ⇒ a³
3. ba² ⇒ a³
4. bab ⇒ a
5. a⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)