#4842 ⟨a, b | ababbaba=abb⟩

Up:Monoids with two generators and one relation
Prev:#4841 ⟨a, b | ababbaba=aba⟩
Next:#4843 ⟨a, b | ababbaba=bab⟩

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. ab2 ⇒ c [2]
2. abcaba ⇒ c [4]
3. cb2 ⇒ (abc)2 [5]
4. cbcaba ⇒ (abc)2 [6]
# ab:ababbaba=abb ac/b abb=c magic:0
abb=c
abcaba=c
cbb=abcabc
cbcaba=abcabc