#4323 ⟨a, b | ababbbbba=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 ⇒ abac [3]
2. b2c ⇒ cbac [10]
3. (ab)2c ⇒ (ba)2c [5]
4. cbabc ⇒ bcbac [11]
5. a(bac)3 ⇒ c [9]
6. a(ba)3cbac ⇒ ba [8]
7. c(ba)3cbac ⇒ bc [4]
# ab:ababbbbba=ba ac/b bbbbbba=c morph:7/2
bba=abac
bbc=cbac
ababc=babac
cbabc=bcbac
abacbacbac=c
abababacbac=ba
cbababacbac=bc