〈a, b | aab=bb, abaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab² ⇒ b⁴
3. a²b ⇒ b²
4. a³ ⇒ b²a²
5. aba² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)