〈a, b | aaa=1, abaab=bba〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a³ ⇒ 1
2. b²a ⇒ aba²b
3. (ba²)² ⇒ a²b²
4. b(aba)² ⇒ abab²
5. ba(ab)²a² ⇒ (a²b)²b
6. ba²(ba)³ ⇒ (ab)³b
7. (ba)⁴ab ⇒ (ab)⁴b
8. (ba)⁴b² ⇒ a(ab)⁴b²

Right Cayley graph (truncated)

Left Cayley graph (truncated)