〈a, b | aa=a, ababb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ a
2. ab²a ⇒ b²a
3. abab² ⇒ b²a
4. ab³a ⇒ b²a
5. b(ba)² ⇒ b²a
6. b⁴a ⇒ b²ab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)