#16465 ⟨a, b | aba=bb, baab=bb⟩

Up:Monoids with two generators and two relations
Prev:#16462 ⟨a, b | aba=bb, abbb=bb⟩
Next:#16467 ⟨a, b | aba=bb, babb=ab⟩

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. ab5 ⇒ ab2 [9]
3. bab2 ⇒ ab4 [8]
4. b2a ⇒ ab4 [10]
5. a2b2 ⇒ b5 [7]
6. aba ⇒ b2 [1]
7. ba2b ⇒ b2 [2]
# ab:aba=bb,baab=bb b/a
bbbbbb=bbb
abbbbb=abb
babb=abbbb
bba=abbbb
aabb=bbbbb
aba=bb
baab=bb