#3808 ⟨a, b | abbaababba=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. (ac)2a2c2 ⇒ (ca)4 [8]
2. ac(aca)2c2 ⇒ c2a2(ca)3 [9]
3. (a(ca)2)2c2 ⇒ c2aca2(ca)3 [10]
4. (a(ca)2)2ca ⇒ c [7]
5. b ⇒ (ac)2a2c [6]
# ab:abbaababba=b ca/b babba=c morph:5/0
acacaacc=cacacaca
acacaacacc=ccaacacaca
acacaacacacc=ccacaacacaca
acacaacacaca=c
b=acacaac