〈a, b | abba=aa, baaa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁵ ⇒ a²
2. ba³ ⇒ b
3. a⁴b ⇒ ab
4. ab² ⇒ a⁴
5. b³ ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)