〈a, b | aab=bb, abab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁷b ⇒ a⁴b
2. ba ⇒ a⁴b
3. b² ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)