#4679 ⟨a, b | aabbaaab=aaa⟩

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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. c2ac ⇒ a3 [6]
2. cacb ⇒ ac [5]
3. a2b2 ⇒ c [2]
4. a3b ⇒ cac [4]
5. a3cac ⇒ c2a4 [8]
6. a4cb ⇒ c2a2c [7]
# ab:aabbaaab=aaa bca aabb=c morph:4/2
ccac=aaa
cacb=ac
aabb=c
aaab=cac
aaacac=ccaaaa
aaaacb=ccaac