#4254 ⟨a, b | abaaabbba=ba⟩

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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. b2a ⇒ aba3c [3]
2. b2c ⇒ cba3c [15]
3. aba3bc ⇒ baba3c [5]
4. a(ba3c)2 ⇒ c [14]
5. cba3bc ⇒ bcba3c [17]
6. aba3baba3c ⇒ ba [13]
7. cba3baba3c ⇒ bc [4]
# ab:abaaabbba=ba ac/b bbbba=c morph:5/2
bba=abaaac
bbc=cbaaac
abaaabc=babaaac
abaaacbaaac=c
cbaaabc=bcbaaac
abaaababaaac=ba
cbaaababaaac=bc