〈a, b | aabb=ab, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ b²
2. ab⁴ ⇒ ab
3. bab ⇒ b⁴
4. a²b ⇒ ab³
5. ba³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)