〈a, b | aab=aaa, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ a³
2. b⁵ ⇒ 1
3. a⁷ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)