〈a, b | aaa=a, abaab=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. ab² ⇒ a
3. aba² ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)