〈a, b | aaa=a, bbabb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. (ab)² ⇒ a²b²
3. b²ab ⇒ ab³
4. aba²b ⇒ ab²
5. ab⁴ ⇒ ab
6. b²a²b ⇒ a²b³

Right Cayley graph (truncated)

Left Cayley graph (truncated)