〈a, b | aba=ab, baaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right cba
• Auxiliary generator abb=c

Complete rewriting system

1. ca ⇒ c
2. cbc ⇒ c²b
3. cb² ⇒ c²
4. cba ⇒ cb
5. abc ⇒ cb
6. ab² ⇒ c
7. aba ⇒ ab
8. ba²c ⇒ bc
9. ba³ ⇒ ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)