〈a, b | aa=1, abbabbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a² ⇒ 1
2. cac² ⇒ ac
3. c(ac)² ⇒ c
4. b(ac)² ⇒ b
5. cb ⇒ bc
6. cab ⇒ abac²ac
7. b² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)