〈a, b | bab=abb, bbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. cb ⇒ bc
2. ac ⇒ bc²
3. b²c ⇒ c
4. ab ⇒ c
5. b³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)