〈a, b | aaa=aa, aaba=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ a²
2. b² ⇒ a²ba
3. (aba)² ⇒ ba²ba
4. a(ab)² ⇒ ba²ba

Right Cayley graph (truncated)

Left Cayley graph (truncated)