〈a, b | aaaa=aaa, bbbb=1〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ab

Complete rewriting system

1. a⁴ ⇒ a³
2. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)