#3613 ⟨a, b | aababbbaab=a⟩

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  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. a2b3a ⇒ ab2a2b [4]
2. a2bab3a ⇒ ab2a(ab)2 [8]
3. a2(ab)3 ⇒ (aba)2ba [7]
4. aba(ab)3 ⇒ ab2a2(ba)2 [6]
5. ab2a(ab)3 ⇒ a [5]
# ab:aababbbaab=a ba
aabbba=abbaab
aababbba=abbaabab
aaababab=abaababa
abaababab=abbaababa
abbaababab=a