#3462 ⟨a, b | aaabababaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3461 ⟨a, b | aaabababaa=a⟩
Next:#3463 ⟨a, b | aaabababab=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. a2(ab)3b ⇒ (ba)4a [2]
2. a2(ab)4 ⇒ ba(ab)3a2 [3]
3. a3(ba)3a ⇒ b [1]
# ab:aaabababaa=b ba
aaabababb=babababaa
aaabababab=baabababaa
aaabababaa=b