〈a, b | baa=abb, aaab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ ab²
2. a³b ⇒ b
3. b²ab ⇒ a²b²
4. bab³ ⇒ a(ab)²
5. b⁶ ⇒ (ab)³
6. b(ab)³ ⇒ (ab)³b

Right Cayley graph (truncated)

Left Cayley graph (truncated)