#4957 ⟨a, b | aaaabaa=baba⟩

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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. bac2 ⇒ cabc [9]
2. baca ⇒ caba [4]
3. babc ⇒ c2 [7]
4. (ba)2 ⇒ ca [3]
5. a4c2 ⇒ cbc [8]
6. a4ca ⇒ cba [6]
7. a4bc ⇒ ca3ba [5]
8. a4ba ⇒ c [2]
# ab:aaaabaa=baba cab aaaaba=c morph:6/0
bacc=cabc
baca=caba
babc=cc
baba=ca
aaaacc=cbc
aaaaca=cba
aaaabc=caaaba
aaaaba=c