〈a, b | baa=abb, bab=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ba² ⇒ ab²
2. bab ⇒ ab
3. a³b ⇒ a²b
4. ab³ ⇒ a²b

Right Cayley graph (truncated)

Left Cayley graph (truncated)