〈a, b | aaaa=a, abbab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. a⁴ ⇒ a
3. ab²a ⇒ a²b²
4. ab³ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)