〈a, b | aaaa=1, ababb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ 1
2. bab² ⇒ a³b
3. b(ab)² ⇒ b
4. baba²b ⇒ ab
5. baba³b ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)