#12043 ⟨a, b | abab=aa, bbbbb=1⟩

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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. b5 ⇒ 1 [2]
2. aba ⇒ a2b4 [4]
3. a2b4a ⇒ a3b [5]
4. a3b2a ⇒ a4b3 [7]
5. a4b3a ⇒ a5b2 [6]
# ab:abab=aa,bbbbb=1 b/a
bbbbb=1
aba=aabbbb
aabbbba=aaab
aaabba=aaaabbb
aaaabbba=aaaaabb