〈a, b | aba=a, bbabb=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a
2. b²a² ⇒ a²b²
3. a²b²a ⇒ a³b²
4. b²ab² ⇒ a²
5. a²b³a ⇒ a²b²
6. a²b⁴ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)