〈a, b | aba=aab, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. aba ⇒ a²b
2. a²b²a ⇒ a³b²
3. b⁵ ⇒ 1
4. a³b³a ⇒ a⁴b³
5. a⁴b⁴a ⇒ a⁵b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)