〈a, b | aaa=a, ababa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. ab² ⇒ ab
3. aba² ⇒ ab
4. (ab)² ⇒ aba

Right Cayley graph (truncated)

Left Cayley graph (truncated)