〈a, b | aba=ab, bba=aaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a⁴
2. aba ⇒ ab
3. a²b ⇒ ab
4. b²a ⇒ a³
5. ab² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)