#5277 ⟨a, b | aba=bb, aaab=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. a3b ⇒ b [2]
2. ba4 ⇒ ba [9]
3. b2 ⇒ aba [1]
4. (ba)2 ⇒ (ab)2 [3]
5. ba2ba3 ⇒ ba2b [7]
6. ba(ab)2 ⇒ a(ba2)2 [4]
7. b(a2b)2a ⇒ ab(a2b)2 [5]
# ab:aba=bb,aaab=b reversed:a/b - -
aaab=b
baaaa=ba
bb=aba
baba=abab
baabaaa=baab
baabab=abaabaa
baabaaba=abaabaab