〈a, b | aaa=ab, babb=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁸ ⇒ a⁴
2. ba⁵ ⇒ ba
3. ab ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)