#3928 ⟨a, b | aaaabbaaa=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. ca2ca3 ⇒ a(a2c)2 [6]
2. c2a5ca3 ⇒ a3ca5c2 [7]
3. caca5ca3 ⇒ a3ca5cac [8]
4. a(a2ca3)2 ⇒ c [4]
5. ab ⇒ a3ca3 [3]
6. cb ⇒ a(a2c)2 [9]
# ab:aaaabbaaa=ab ac/b abb=c morph:3/0
caacaaa=aaacaac
ccaaaaacaaa=aaacaaaaacc
cacaaaaacaaa=aaacaaaaacac
aaacaaaaacaaa=c
ab=aaacaaa
cb=aaacaac