#16370 ⟨a, b | aba=aa, bbbb=aa⟩

Up:Monoids with two generators and two relations
Prev:#16369 ⟨a, b | aba=aa, babb=bb⟩
Next:#16371 ⟨a, b | aba=aa, bbbb=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. b9 ⇒ b8 [7]
2. ab5 ⇒ ab4 [6]
3. bab4 ⇒ ab4 [8]
4. b4a ⇒ ab4 [4]
5. a2 ⇒ b4 [2]
6. aba ⇒ b4 [3]
# ab:aba=aa,bbbb=aa b/a
bbbbbbbbb=bbbbbbbb
abbbbb=abbbb
babbbb=abbbb
bbbba=abbbb
aa=bbbb
aba=bbbb