〈a, b | aaa=a, aaba=baa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right acb
• Auxiliary generator ba=c

Complete rewriting system

1. ca ⇒ c
2. ba ⇒ c
3. bc ⇒ c²
4. a³ ⇒ a
5. a²c ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)