〈a, b | aba=ab, aaaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ca ⇒ c
2. a⁵ ⇒ a
3. a⁴c ⇒ c
4. aba ⇒ ab
5. cb ⇒ abc
6. ab²a ⇒ ab²
7. ab³ ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)