〈a, b | aabb=ab, abaa=a〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right acb
• Auxiliary generator ab=c

Complete rewriting system

1. ab ⇒ c
2. cb ⇒ c²
3. aca ⇒ a
4. ac² ⇒ c
5. ca² ⇒ a
6. cac ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)