〈a, b | aaba=a, bbaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a²c ⇒ a
2. aca ⇒ a
3. cac ⇒ c
4. c²a ⇒ c
5. ba ⇒ c
6. bc ⇒ ac²

Right Cayley graph (truncated)

Left Cayley graph (truncated)