#1737 ⟨a, b | aabbbbaab=a⟩

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. a3bab ⇒ (aba)2 [6]
2. (aba)2b ⇒ ab2a2ba [5]
3. a2b4a ⇒ ab3a2b [2]
4. ab2a(ab)2 ⇒ ab3a2ba [4]
5. ab3a(ab)2 ⇒ a [3]
# ab:aabbbbaab=a ba - -
aaabab=abaaba
abaabab=abbaaba
aabbbba=abbbaab
abbaabab=abbbaaba
abbbaabab=a