〈a, b | aba=ab, babb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ba

Complete rewriting system

1. ab² ⇒ bab
2. aba ⇒ ab
3. a²b ⇒ ab
4. b²ab ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)