#16524 ⟨a, b | aab=bb, bbb=aaa⟩

Up:Monoids with two generators and two relations
Prev:#16521 ⟨a, b | aab=bb, bab=aaa⟩
Next:#16526 ⟨a, b | aba=aa, abb=aaa⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. b6 ⇒ b3 [5]
2. ab2 ⇒ b4 [3]
3. b3a ⇒ b5 [4]
4. a2b ⇒ b2 [1]
5. a3 ⇒ b3 [2]
# ab:aab=bb,bbb=aaa b/a
bbbbbb=bbb
abb=bbbb
bbba=bbbbb
aab=bb
aaa=bbb