〈a, b | babb=ba, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right bc/a
• Auxiliary generator baa=c

Complete rewriting system

1. cb ⇒ c
2. b⁴ ⇒ b
3. b³c ⇒ c
4. bab ⇒ ba
5. ca ⇒ bac
6. ba² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)