〈a, b | aaa=a, babb=ab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right ac/b
• Auxiliary generator ab=c

Complete rewriting system

1. a³ ⇒ a
2. a²c ⇒ c
3. c³ ⇒ c
4. c²ac ⇒ ac
5. bc ⇒ ac²
6. bac ⇒ (ac)²
7. ab ⇒ c
8. cb ⇒ cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)