〈a, b | aba=aa, aaaa=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²
2. a⁴ ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)