〈a, b | aaaa=1, ababb=bb〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ 1
2. a³b² ⇒ bab²
3. abab² ⇒ b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)