〈a, b | aaa=a, babbab=b〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a³ ⇒ a
2. b²ab ⇒ bab²
3. (ba)²b² ⇒ b

Right Cayley graph (truncated)

Left Cayley graph (truncated)