#3633 ⟨a, b | aabbaabaab=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. a3bab ⇒ a2b2a2 [4]
2. a2b2a2ba ⇒ ab(a2b)2 [2]
3. a(a2b)2ab ⇒ (aba)3 [5]
4. (aba)3b ⇒ a [3]
# ab:aabbaabaab=a ba
aaabab=aabbaa
aabbaaba=abaabaab
aaabaabab=abaabaaba
abaabaabab=a