〈a, b | aab=bb, aaaaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b ⇒ b²
2. ab³ ⇒ ab
3. b⁴ ⇒ b²
4. a⁵ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)