〈a, b | aab=b, babb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁷ ⇒ b⁴
2. b²a ⇒ bab²
3. a²b ⇒ b
4. (ba)²b³ ⇒ b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)