〈a, b | aa=1, bbabbb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. c⁴ ⇒ c
2. cac³ ⇒ ca
3. bc ⇒ c³
4. cb ⇒ c³
5. a² ⇒ 1
6. cab ⇒ cac²
7. b² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)