〈a, b | aaa=a, abab=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁸ ⇒ b⁵
2. bab⁴ ⇒ ab⁶
3. b³ab ⇒ ab⁴
4. a²b³ ⇒ b³
5. (ab)² ⇒ b³
6. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)