#3552 ⟨a, b | aabaaabbaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3551 ⟨a, b | aabaaabbaa=a⟩
Next:#3553 ⟨a, b | aabaaabbab=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. a2ba3b3 ⇒ b2a3b2a2 [2]
2. a2ba3b2ab ⇒ baba3b2a2 [3]
3. a2ba3b2a2 ⇒ b [1]
# ab:aabaaabbaa=b ba
aabaaabbb=bbaaabbaa
aabaaabbab=babaaabbaa
aabaaabbaa=b