〈a, b | aaa=a, bbbb=aab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. ba²b ⇒ a²b²
3. b⁴ ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)