#5104 ⟨a, b | aaabbba=aabb⟩

Up:Monoids with two generators and one relation
Prev:#5103 ⟨a, b | aaabbba=aaba⟩
Next:#5105 ⟨a, b | aaabbba=abaa⟩

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. cab2 ⇒ c2ba [6]
2. acbc ⇒ c2ba [5]
3. acba ⇒ c [4]
4. a2b2 ⇒ c [2]
# ab:aaabbba=aabb cab aabb=c magic:0
cabb=ccba
acbc=ccba
acba=c
aabb=c