〈a, b | abb=aaa, bab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab² ⇒ a³
2. bab ⇒ ab
3. ba³ ⇒ a³
4. ba²b ⇒ a²b
5. a⁴b ⇒ a²b
6. a⁶ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)