〈a, b | aaa=a, baabb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. ab⁵ ⇒ ab
2. bab ⇒ ab²
3. a²b ⇒ ab³
4. a³ ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)