〈a, b | abb=aaa, baa=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab² ⇒ a³
2. ba² ⇒ b
3. b³ ⇒ b
4. a³b ⇒ ab
5. a⁵ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)