〈a, b | aaba=ba, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. a²ba ⇒ ba
3. a²b²a ⇒ b²a
4. b⁵ ⇒ 1
5. a²b³a ⇒ b³a
6. a²b⁴a ⇒ b⁴a

Right Cayley graph (truncated)

Left Cayley graph (truncated)