〈a, b | aba=a, abbab=aa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. aba ⇒ a
3. a²b ⇒ a⁴
4. ab²a ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)