〈a, b | aaa=aa, aaba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ac ⇒ c
2. a³ ⇒ a²
3. ca² ⇒ ca
4. aba ⇒ ba
5. bc ⇒ cba
6. b²a ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)