〈a, b | aab=bb, aaaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b²
2. b³ ⇒ b²
3. a⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)