#3952 ⟨a, b | aaaabbbba=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. a4c2 ⇒ (aca)2 [7]
2. ca3c2 ⇒ c2a2ca [8]
3. a(a3c)4a ⇒ ac [5]
4. c(a3c)4a ⇒ c2 [6]
5. ab ⇒ a4c [3]
6. cb ⇒ ca3c [4]
7. b4a ⇒ c [2]
# ab:aaaabbbba=ab reversed:ac/b bbbba=c morph:5/0
aaaacc=acaaca
caaacc=ccaaca
aaaacaaacaaacaaaca=ac
caaacaaacaaacaaaca=cc
ab=aaaac
cb=caaac
bbbba=c