#3507 ⟨a, b | aaabbbaaab=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. a3b3a ⇒ ab2a3b [2]
2. a4ba2b ⇒ (aba2)2 [5]
3. (aba2)2b ⇒ ab2a3ba2 [4]
4. ab2a(a2b)2 ⇒ a [3]
# ab:aaabbbaaab=a ba
aaabbba=abbaaab
aaaabaab=abaaabaa
abaaabaab=abbaaabaa
abbaaabaab=a