#3930 ⟨a, b | aaaabbaaa=bb⟩

Up:Monoids with two generators and one relation
Prev:#3929 ⟨a, b | aaaabbaaa=ba⟩
Next:#3931 ⟨a, b | aaaabbaab=aa⟩

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. a4b4 ⇒ b2ab2a3 [2]
2. a3(ab2)2 ⇒ (b2a2)2a [3]
3. a4b2a3 ⇒ b2 [1]
4. a2(a2b2)2 ⇒ (b2a3)2 [4]
# ab:aaaabbaaa=bb ba
aaaabbbb=bbabbaaa
aaaabbabb=bbaabbaaa
aaaabbaaa=bb
aaaabbaabb=bbaaabbaaa