〈a, b | aba=aa, babb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. a²b² ⇒ a²b
3. ba³ ⇒ a³
4. ba²b ⇒ a²b
5. bab² ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)