〈a, b | aabb=aaa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ a²
2. a²b² ⇒ a³
3. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)