#3514 ⟨a, b | aaabbbabaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3513 ⟨a, b | aaabbbabaa=a⟩
Next:#3515 ⟨a, b | aaabbbabab=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. a3b3ab2 ⇒ bab3aba2 [2]
2. a3b3(ab)2 ⇒ ba2b3aba2 [3]
3. a3b3aba2 ⇒ b [1]
# ab:aaabbbabaa=b ba
aaabbbabb=babbbabaa
aaabbbabab=baabbbabaa
aaabbbabaa=b