〈a, b | aaa=1, abbabbb=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ 1
2. (bab)² ⇒ (ab²)²
3. b²ab³ ⇒ a²b
4. bab²a²b ⇒ ab²(ab)²
5. b²aba²b ⇒ a²bab³

Right Cayley graph (truncated)

Left Cayley graph (truncated)