〈a, b | aab=ab, abaa=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ac ⇒ c
2. ca ⇒ c
3. ba ⇒ c
4. bc ⇒ c²
5. a²b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)