#25250 ⟨a, b | aa=a, bbabb=aba⟩

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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. a2 ⇒ a [1]
2. b(ba)2 ⇒ abab2 [3]
3. b2ab2 ⇒ aba [2]
4. abab2a ⇒ abab2 [6]
5. abab3a ⇒ (ab)3b [4]
6. abab4 ⇒ a(ba)2 [5]
# ab:aa=a,bbabb=aba ab
aa=a
bbaba=ababb
bbabb=aba
ababba=ababb
ababbba=abababb
ababbbb=ababa