〈a, b | aba=bb, aaab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁹b ⇒ a⁷b
2. ba ⇒ a³b
3. b² ⇒ a⁴b

Right Cayley graph (truncated)

Left Cayley graph (truncated)