#4766 ⟨a, b | abaaaaba=bbb⟩

Up:Monoids with two generators and one relation
Prev:#4765 ⟨a, b | abaaaaba=bab⟩
Next:#4767 ⟨a, b | abaaabab=aaa⟩

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. aba4ba ⇒ b3 [1]
2. b3a3ba ⇒ aba3b3 [2]
3. b4a4ba ⇒ aba4b4 [3]
# ab:abaaaaba=bbb ab
abaaaaba=bbb
bbbaaaba=abaaabbb
bbbbaaaaba=abaaaabbbb