〈a, b | abab=aa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right b/a

Complete rewriting system

1. b⁴ ⇒ 1
2. aba ⇒ a²b³
3. a²b³a ⇒ a³b
4. a³b²a ⇒ a⁴b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)