〈a, b | aa=1, babab=bbbb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a² ⇒ 1
2. b(ab)² ⇒ b⁴
3. b⁴ab ⇒ bab⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)