#4149 ⟨a, b | aababbbba=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 ⇒ a2bac [3]
2. b2c ⇒ cabac [10]
3. a(ab)2c ⇒ ba2bac [5]
4. c(ab)2c ⇒ bcabac [11]
5. ba(abac)2 ⇒ c [9]
6. a2ba2(abac)2 ⇒ ba [8]
7. a(abac)3 ⇒ bc [12]
8. caba2(abac)2 ⇒ bc [4]
# ab:aababbbba=ba ac/b bbbbba=c morph:6/2
bba=aabac
bbc=cabac
aababc=baabac
cababc=bcabac
baabacabac=c
aabaaabacabac=ba
aabacabacabac=bc
cabaaabacabac=bc