〈a, b | aaaa=aa, aabb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ b
2. a²b ⇒ b
3. a⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)