〈a, b | aa=a, ababa=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right acb
• Auxiliary generator ba=c

Complete rewriting system

1. a² ⇒ a
2. ca ⇒ c
3. cb ⇒ c²
4. ba ⇒ c
5. ac² ⇒ c²
6. bc² ⇒ c³

Right Cayley graph (truncated)

Left Cayley graph (truncated)