〈a, b | bbb=aaa, abba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹² ⇒ a³
2. ba³ ⇒ a⁷
3. a³b ⇒ a⁷
4. ab²a ⇒ a
5. b³ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)