〈a, b | aba=ab, bbbbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ ab
2. ab²a ⇒ ab²
3. ab³a ⇒ ab³
4. b⁵ ⇒ b
5. ab⁴a ⇒ ab⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)