〈a, b | aa=1, bbabbb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. a² ⇒ 1
2. c³ ⇒ c
3. c²ac ⇒ ac
4. bc² ⇒ b
5. cb ⇒ abcac²
6. cab ⇒ bac
7. bab ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)