〈a, b | abab=a, aaaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁵ ⇒ a
2. aba ⇒ a²b
3. ab² ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)