〈a, b | aaaa=a, aaabb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ b
2. a⁴ ⇒ a
3. a³b ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)