#3758 ⟨a, b | ababaaabab=b⟩

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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. ba3b2 ⇒ (ab)3 [4]
2. aba2b2 ⇒ baba2b [6]
3. ba3bab ⇒ (ab)2a2b [2]
4. (aba)2b2 ⇒ ba(ab)3 [7]
5. aba(ab)3 ⇒ ba(ab)2a2b [5]
6. (aba2b)2 ⇒ b [8]
# ab:ababaaabab=b reversed:ab
baaabb=ababab
abaabb=babaab
baaabab=ababaab
abaababb=baababab
abaababab=baababaab
abaababaab=b