〈a, b | aaba=ab, bbba=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. a⁴ ⇒ a²
3. a³b ⇒ ab
4. ab²a ⇒ a²b²
5. ab³ ⇒ a³
6. b³a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)