〈a, b | aba=ab, bbbba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁵ ⇒ ab
2. b⁴a ⇒ a
3. a² ⇒ ab⁴
4. aba ⇒ ab
5. ab²a ⇒ ab²
6. ab³a ⇒ ab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)