#12514 ⟨a, b | abab=aa, bbba=a⟩

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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. aba2 ⇒ a3b [3]
2. (ab)2 ⇒ a2 [1]
3. b3a ⇒ a [2]
4. a2b2a ⇒ a3b [4]
5. a4b2 ⇒ a3ba [5]
# ab:abab=aa,bbba=a ab
abaa=aaab
abab=aa
bbba=a
aabba=aaab
aaaabb=aaaba