〈a, b | aab=bb, abb=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a³
2. ba³ ⇒ a³
3. a³b ⇒ a³
4. b² ⇒ a²b
5. ba²b ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)