〈a, b | aaa=a, babab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a³ ⇒ a
2. a²c ⇒ c
3. ca² ⇒ c
4. c³ ⇒ a²
5. ba ⇒ c
6. bc ⇒ cac
7. ab ⇒ aca
8. cb ⇒ c²a

Right Cayley graph (truncated)

Left Cayley graph (truncated)