〈a, b | aaa=1, abbab=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a³ ⇒ 1
2. b²ab ⇒ a(ab)²
3. b(ab)² ⇒ bab
4. ba(ab)² ⇒ (ab)²

Right Cayley graph (truncated)

Left Cayley graph (truncated)