#4191 ⟨a, b | aabbbaaab=ab⟩

Up:Monoids with two generators and one relation
Prev:#4190 ⟨a, b | aabbbaaab=aa⟩
Next:#4192 ⟨a, b | aabbbaaab=ba⟩

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. ab3a2b ⇒ a2b3ab [3]
2. ab3a3b ⇒ a3b3ab [5]
3. a4b3ab ⇒ ab [4]
# ab:aabbbaaab=ab ab
abbbaab=aabbbab
abbbaaab=aaabbbab
aaaabbbab=ab