〈a, b | aaaa=1, aabaab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. b² ⇒ b
2. a⁴ ⇒ 1
3. ba²b ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)