〈a, b | aaa=a, aaba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca ⇒ ac
2. a³ ⇒ a
3. a²c ⇒ c
4. ab ⇒ c
5. cb ⇒ ac²

Right Cayley graph (truncated)

Left Cayley graph (truncated)