〈a, b | aaaa=1, ababa=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ 1
2. (ab)² ⇒ b²a³
3. a³b² ⇒ (ba)²
4. ab³ ⇒ b³a

Right Cayley graph (truncated)

Left Cayley graph (truncated)