#3706 ⟨a, b | abaaaabaab=b⟩

Up:Monoids with two generators and one relation
Prev:#3705 ⟨a, b | abaaaabaab=a⟩
Next:#3708 ⟨a, b | abaaaababa=b⟩

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. ba4bab ⇒ aba4b2 [3]
2. ba4ba2b ⇒ a2ba4b2 [5]
3. a3ba4b2 ⇒ b [4]
# ab:abaaaabaab=b ab
baaaabab=abaaaabb
baaaabaab=aabaaaabb
aaabaaaabb=b