〈a, b | aaab=baa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a⁶⁷ ⇒ a²
2. a²ba ⇒ a³⁶b
3. ba² ⇒ a³b
4. a²b²a ⇒ a⁵³b²
5. a²b³a ⇒ a⁴⁶b³
6. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)