#4050 ⟨a, b | aaabbbbaa=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. caca2 ⇒ a(ac)2 [6]
2. c2(a3c)3a2 ⇒ a2(ca3)3c2 [7]
3. a(aca2)4 ⇒ c [4]
4. ab ⇒ a2ca2 [3]
5. cb ⇒ a(ac)2 [8]
# ab:aaabbbbaa=ab ac/b abbbb=c morph:5/0
cacaa=aacac
ccaaacaaacaaacaa=aacaaacaaacaaacc
aacaaacaaacaaacaa=c
ab=aacaa
cb=aacac