〈a, b | aabb=aba, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a²b² ⇒ aba
2. b⁴ ⇒ 1
3. abab² ⇒ a²

Right Cayley graph (truncated)

Left Cayley graph (truncated)