〈a, b | aaab=aba, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: right-to-left a/b

Complete rewriting system

1. a³¹ ⇒ a¹⁶
2. aba ⇒ a³b
3. a³b²a ⇒ a⁷b²
4. a⁷b³a ⇒ a¹⁵b³
5. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)