〈a, b | aa=a, babbbab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. b² ⇒ c
2. cb ⇒ bc
3. a² ⇒ a
4. babc ⇒ bcab
5. bac² ⇒ bcac
6. cabc ⇒ c²ab
7. cac² ⇒ c²ac
8. c(ab)² ⇒ (ba)²c
9. cabac ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)