〈a, b | aaa=a, aabaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

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

Complete rewriting system

1. ac ⇒ c
2. ab ⇒ c
3. cb ⇒ c²
4. a³ ⇒ a
5. ca² ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)