〈a, b | baa=abb, bba=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. ba⁵ ⇒ ba³
2. aba ⇒ ba³
3. b²a ⇒ ba
4. ab² ⇒ ba²

Right Cayley graph (truncated)

Left Cayley graph (truncated)