〈a, b | aabaa=a, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba² ⇒ a²ba
2. a³ba ⇒ a
3. b⁵ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)