〈a, b | ab=a, bbaa=aaaa〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. ab ⇒ a
2. b²a² ⇒ a⁴
3. a⁵ ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)