〈a, b | aabab=a, bbbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a(ba)² ⇒ a
2. a(ab)² ⇒ a
3. ab³ ⇒ (a²b)²a
4. ab(ba)² ⇒ ab
5. (a²b)³a ⇒ ab²
6. b⁵ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)