#3434 ⟨a, b | aaabaaabaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3432 ⟨a, b | aaabaaaabb=b⟩
Next:#3435 ⟨a, b | aaabaaabab=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. a3b2 ⇒ baba2 [2]
2. (a3b)2ab ⇒ ba(aba2)2 [3]
3. (a3b)2a2 ⇒ b [1]
# ab:aaabaaabaa=b ba
aaabb=babaa
aaabaaabab=baabaaabaa
aaabaaabaa=b