〈a, b | aaaaa=a, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁵ ⇒ a
2. b⁵ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)