〈a, b | aaa=bb, bab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right a/b

Complete rewriting system

1. a⁸ ⇒ a³
2. ba³ ⇒ a⁷
3. a³b ⇒ a⁷
4. b² ⇒ a³
5. bab ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)