〈a, b | aba=ba, baa=aba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right bc/a
• Auxiliary generator bba=c

Complete rewriting system

1. b²c ⇒ c²
2. cbc ⇒ bc²
3. ac ⇒ c
4. abc ⇒ bc
5. ca ⇒ c
6. b²a ⇒ c
7. cba ⇒ bc
8. aba ⇒ ba
9. ba² ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)