〈a, b | aaa=a, abbba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁵ ⇒ ab
2. aba ⇒ ab³
3. ab²a ⇒ ab⁴
4. ab³a ⇒ ab
5. ab⁴a ⇒ ab²
6. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)