#4058 ⟨a, b | aaabbbbba=ab⟩

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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. a3c2 ⇒ a(ca)2 [7]
2. ca2c2 ⇒ c(ca)2 [8]
3. a(a2c)5a ⇒ ac [5]
4. c(a2c)5a ⇒ c2 [6]
5. ab ⇒ a3c [3]
6. cb ⇒ ca2c [4]
7. b5a ⇒ c [2]
# ab:aaabbbbba=ab reversed:ac/b bbbbba=c morph:6/0
aaacc=acaca
caacc=ccaca
aaacaacaacaacaaca=ac
caacaacaacaacaaca=cc
ab=aaac
cb=caac
bbbbba=c