〈a, b | aa=a, abbbbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. aba ⇒ ab
3. ab²a ⇒ ab²
4. ab³a ⇒ ab³
5. ab⁴a ⇒ ab⁴
6. ab⁵ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)