〈a, b | aaa=a, abbbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. aba ⇒ a²b
3. ab²a ⇒ a²b²
4. ab³a ⇒ a²b³
5. ab⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)