#4290 ⟨a, b | ababaabab=bb⟩

Up:Monoids with two generators and one relation
Prev:#4289 ⟨a, b | ababaabab=ba⟩
Next:#4291 ⟨a, b | ababaabba=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. (ab)3b ⇒ b2a(ab)2 [2]
2. (ab)2a2b3 ⇒ b2(aba)2b [3]
3. ab(aba)2b ⇒ b2 [1]
# ab:ababaabab=bb ba
abababb=bbaabab
ababaabbb=bbabaabab
ababaabab=bb