〈a, b | aa=a, bbababb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a² ⇒ a
2. bab ⇒ c
3. cab ⇒ bac
4. cb² ⇒ b²c
5. cbc ⇒ b
6. b²ac ⇒ bacb
7. bcac ⇒ bac²
8. cbac ⇒ cacb
9. c²ac ⇒ cac²

Right Cayley graph (truncated)

Left Cayley graph (truncated)