〈a, b | aaa=bb, ababa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a¹⁸ ⇒ a³
2. aba³ ⇒ ba¹⁴
3. a³b ⇒ ba³
4. b² ⇒ a³
5. a(ba)² ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)