〈a, b | aa=a, ababa=bbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. ab³ ⇒ b³
3. b³a ⇒ b³
4. a(ba)² ⇒ b³
5. b⁶ ⇒ b⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)