#4278 ⟨a, b | abaabbaba=bb⟩

Up:Monoids with two generators and one relation
Prev:#4277 ⟨a, b | abaabbaba=ba⟩
Next:#4279 ⟨a, b | abaabbbba=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. (b2a)2ba ⇒ aba2b4 [2]
2. aba2b(ba)2 ⇒ b2 [1]
3. b3a2b(ba)2 ⇒ aba2b2ab3 [3]
# ab:abaabbaba=bb ab
bbabbaba=abaabbbb
abaabbaba=bb
bbbaabbaba=abaabbabbb