#3652 ⟨a, b | aabbabbaab=a⟩

Up:Monoids with two generators and one relation
Prev:#3651 ⟨a, b | aabbababba=b⟩
Next:#3653 ⟨a, b | aabbabbaab=b⟩

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. a3bab ⇒ a2b2a2 [6]
2. (aba)2b ⇒ abab2a2 [5]
3. a2(b2a)2 ⇒ abab2a2b [2]
4. a2b2a(ab)2 ⇒ abab2a2ba [4]
5. abab2a(ab)2 ⇒ a [3]
# ab:aabbabbaab=a ba
aaabab=aabbaa
abaabab=ababbaa
aabbabba=ababbaab
aabbaabab=ababbaaba
ababbaabab=a