〈a, b | aa=1, bbababbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right abc
• Auxiliary generator bab=c

Complete rewriting system

1. a² ⇒ 1
2. bab ⇒ c
3. cab ⇒ bac
4. b²ac ⇒ bacb
5. bcac ⇒ bac²
6. cbac ⇒ cacb
7. cb³ ⇒ b³c
8. cb²c ⇒ b
9. c²ac ⇒ cac²

Right Cayley graph (truncated)

Left Cayley graph (truncated)