〈a, b | aaa=1, babb=baba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right abc
• Auxiliary generator ba=c

Complete rewriting system

1. ba ⇒ c
2. a³ ⇒ 1
3. ca² ⇒ b
4. cb² ⇒ c²
5. c²a ⇒ cbc
6. cbca ⇒ cb

Right Cayley graph (truncated)

Left Cayley graph (truncated)