〈a, b | aa=1, bbabb=babb〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a² ⇒ 1
2. bc² ⇒ c²
3. bcb ⇒ cb
4. bac ⇒ cab
5. bab ⇒ c
6. cac² ⇒ c⁴
7. cacb ⇒ c³b
8. cabc ⇒ c³
9. cab² ⇒ c²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)