〈a, b | aba=a, abba=aab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a²
2. aba ⇒ a
3. ab²a ⇒ a²b
4. a²b³a ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)