#3687 ⟨a, b | aabbbbbaab=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 ⇒ (aba)2 [7]
2. (aba)2b ⇒ ab2a2ba [6]
3. ab2a(ab)2 ⇒ ab3a2ba [5]
4. a2b5a ⇒ ab4a2b [2]
5. ab3a(ab)2 ⇒ ab4a2ba [4]
6. ab4a(ab)2 ⇒ a [3]
# ab:aabbbbbaab=a ba
aaabab=abaaba
abaabab=abbaaba
abbaabab=abbbaaba
aabbbbba=abbbbaab
abbbaabab=abbbbaaba
abbbbaabab=a