#3489 ⟨a, b | aaabbaabaa=b⟩

Up:Monoids with two generators and one relation
Prev:#3488 ⟨a, b | aaabbaabaa=a⟩
Next:#3490 ⟨a, b | aaabbaabab=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. a(a2b2)2 ⇒ bab(ba2)2 [2]
2. a3b2a(ab)2 ⇒ (ba2b)2a2 [3]
3. a3b(ba2)2 ⇒ b [1]
# ab:aaabbaabaa=b ba
aaabbaabb=babbaabaa
aaabbaabab=baabbaabaa
aaabbaabaa=b