〈a, b | aba=ab, bbaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ ab
2. aba ⇒ ab
3. ab² ⇒ a³
4. a⁴ ⇒ a³
5. b²a² ⇒ a²
6. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)