〈a, b | aaba=bba, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²ba ⇒ b²a
2. b⁴ ⇒ 1
3. a²b³a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)