〈a, b | aaa=a, aaba=aab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ac/b
• Auxiliary generator abb=c

Complete rewriting system

1. ca ⇒ c
2. a³ ⇒ a
3. a²c ⇒ c
4. aba ⇒ ab
5. cb ⇒ abc
6. ab² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)