〈a, b | abab=aa, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁵ ⇒ 1
2. aba ⇒ a²b⁴
3. a²b⁴a ⇒ a³b
4. a³b²a ⇒ a⁴b³
5. a⁴b³a ⇒ a⁵b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)