〈a, b | bba=abb, bbb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca ⇒ c²
2. cb ⇒ c
3. ac ⇒ c²
4. bc ⇒ c
5. ab² ⇒ c
6. b²a ⇒ c
7. b³ ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)