#3624 ⟨a, b | aabbaaaaab=b⟩

Up:Monoids with two generators and one relation
Prev:#3623 ⟨a, b | aabbaaaaab=a⟩
Next:#3625 ⟨a, b | aabbaaaaba=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. b2a3b ⇒ a2b2ab [3]
2. b2a5b ⇒ a4b2ab [5]
3. a6b2ab ⇒ b [4]
# ab:aabbaaaaab=b ab
bbaaab=aabbab
bbaaaaab=aaaabbab
aaaaaabbab=b