#12517 ⟨a, b | abab=aa, bbbb=b⟩

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Contents

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. b4 ⇒ b [2]
2. (ab)2 ⇒ a2 [1]
3. a3b ⇒ aba2 [3]
4. a2b3 ⇒ a2 [4]
5. aba2b2 ⇒ a3 [5]
6. (a2b)2 ⇒ aba3 [6]
7. a(ba2)2 ⇒ a2ba3 [7]
# ab:abab=aa,bbbb=b ba - -
bbbb=b
abab=aa
aaab=abaa
aabbb=aa
abaabb=aaa
aabaab=abaaa
abaabaa=aabaaa