〈a, b | aab=ba, bbabb=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁴ ⇒ a
2. ab ⇒ ba²
3. b⁴a ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)