〈a, b | baa=abb, bbb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right cab
• Auxiliary generator bb=c

Complete rewriting system

1. c² ⇒ c
2. cb ⇒ c
3. bc ⇒ c
4. b² ⇒ c
5. ca² ⇒ cac
6. bac ⇒ cac
7. ba² ⇒ ac

Right Cayley graph (truncated)

Left Cayley graph (truncated)