#3383 ⟨a, b | aaaababaaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3382 ⟨a, b | aaaababaaa=a⟩
Next:#3384 ⟨a, b | aaaababaab=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. a4bab2 ⇒ (ba)3a2 [2]
2. a3(ab)3 ⇒ ba(ab)2a3 [3]
3. a4baba2b ⇒ ba3baba3 [4]
4. a4baba3 ⇒ b [1]
# ab:aaaababaaa=b ba
aaaababb=bababaaa
aaaababab=baababaaa
aaaababaab=baaababaaa
aaaababaaa=b