#3889 ⟨a, b | aaaaabbba=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. a5c2 ⇒ aca3ca [7]
2. ca4c2 ⇒ c2a3ca [8]
3. a(a4c)3a ⇒ ac [5]
4. c(a4c)3a ⇒ c2 [6]
5. ab ⇒ a5c [3]
6. cb ⇒ ca4c [4]
7. b3a ⇒ c [2]
# ab:aaaaabbba=ab reversed:ac/b bbba=c morph:4/0
aaaaacc=acaaaca
caaaacc=ccaaaca
aaaaacaaaacaaaaca=ac
caaaacaaaacaaaaca=cc
ab=aaaaac
cb=caaaac
bbba=c