〈a, b | aba=ab, bbaa=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ ab
2. ab² ⇒ a²b
3. a³b ⇒ a²b
4. b²a² ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)