〈a, b | aabb=aa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b² ⇒ a²
2. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)