#4844 ⟨a, b | ababbaba=bbb⟩

Up:Monoids with two generators and one relation
Prev:#4843 ⟨a, b | ababbaba=bab⟩
Next:#4845 ⟨a, b | ababbbba=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. a(bab)2a ⇒ b3 [1]
2. b5aba ⇒ abab5 [2]
3. b3(bab)2a ⇒ abab2ab4 [3]
# ab:ababbaba=bbb ab
ababbaba=bbb
bbbbbaba=ababbbbb
bbbbabbaba=ababbabbbb