〈a, b | babb=ab, bbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. b⁴ ⇒ b
2. b³c ⇒ c
3. cb ⇒ b²c
4. ab ⇒ c
5. ac ⇒ bc²

Right Cayley graph (truncated)

Left Cayley graph (truncated)