#3743 ⟨a, b | abaabbaaba=a⟩

Up:Monoids with two generators and one relation
Prev:#3742 ⟨a, b | abaabbaaab=b⟩
Next:#3744 ⟨a, b | abaabbaaba=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. aba2b2a2 ⇒ a2b2a2ba [2]
2. ab2a2(ba)2 ⇒ (ab)2a2b2a [5]
3. a(ab)2a2b2a ⇒ a [7]
# ab:abaabbaaba=a ab
abaabbaa=aabbaaba
abbaababa=ababaabba
aababaabba=a