#20233 ⟨a, b | aba=a, baab=bbb⟩

Up:Monoids with two generators and two relations
Prev:#20231 ⟨a, b | aba=a, baab=abb⟩
Next:#20234 ⟨a, b | aba=a, babb=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. bab3 ⇒ b3 [8]
2. b3ab ⇒ b3 [7]
3. a2b ⇒ ab3 [3]
4. aba ⇒ a [1]
5. ab3a ⇒ a2 [5]
6. ba2 ⇒ b3a [4]
7. a3 ⇒ ab5a [6]
# ab:aba=a,baab=bbb b/a
babbb=bbb
bbbab=bbb
aab=abbb
aba=a
abbba=aa
baa=bbba
aaa=abbbbba