〈a, b | aaa=a, babb=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. bab¹⁰ ⇒ bab⁴
2. b²a ⇒ bab²
3. a³ ⇒ a
4. (ba)³b² ⇒ bab²

Right Cayley graph (truncated)

Left Cayley graph (truncated)