#3354 ⟨a, b | aaaaabbaaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3352 ⟨a, b | aaaaababbb=b⟩
Next:#3355 ⟨a, b | aaaaabbaab=a⟩

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. a5b3 ⇒ ba2b2a3 [2]
2. a5b2ab ⇒ ba3b2a3 [3]
3. a5b2a2b ⇒ ba4b2a3 [4]
4. a5b2a3 ⇒ b [1]
# ab:aaaaabbaaa=b ba
aaaaabbb=baabbaaa
aaaaabbab=baaabbaaa
aaaaabbaab=baaaabbaaa
aaaaabbaaa=b