〈a, b | aaa=a, abab=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ab ⇒ c
2. bc ⇒ c²
3. a³ ⇒ a
4. a²c ⇒ c
5. ac² ⇒ c²

Right Cayley graph (truncated)

Left Cayley graph (truncated)