〈a, b | aaa=a, abbab=ba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left b/a

Complete rewriting system

1. b⁵a ⇒ ba
2. bab⁴ ⇒ ba
3. aba ⇒ b²ab
4. ab²a ⇒ bab³
5. ab³a ⇒ b³ab²
6. ab⁴a ⇒ b⁴a²
7. ba²b ⇒ b²a²
8. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)