〈a, b | aaa=a, abab=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a³ ⇒ a
2. b²a ⇒ (ab)²
3. (ab)²a² ⇒ (ab)²
4. (aba)³ba ⇒ (aba)²b²
5. aba²(ba)⁴ ⇒ (aba)²b³
6. (aba)⁵b ⇒ (aba)²b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)