〈a, b | abab=ba, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba³ ⇒ b
2. a³b ⇒ b
3. bab ⇒ a²ba
4. ab² ⇒ (ba²)²
5. (a²b)² ⇒ b²a
6. b²a²b ⇒ aba²
7. b⁴ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)