〈a, b | aab=aaa, aba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ab² ⇒ ab
2. aba ⇒ ab
3. a³ ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)