〈a, b | aab=a, abbaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca ⇒ ac
2. a²c ⇒ a
3. ac² ⇒ c
4. ab ⇒ ac
5. cb ⇒ c²

Right Cayley graph (truncated)

Left Cayley graph (truncated)