〈a, b | aaa=a, abba=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. aba ⇒ ab²
2. a³ ⇒ a
3. ab³ ⇒ ab
4. ab²a ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)