#6716 ⟨a, b | aab=b, bbab=ba⟩

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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. a2b ⇒ b [1]
2. ba3 ⇒ ba [5]
3. b2a2 ⇒ b2 [4]
4. b2ab ⇒ ba [2]
5. baba2 ⇒ bab [6]
6. b(ab)2 ⇒ ba2 [3]
# ab:aab=b,bbab=ba ab
aab=b
baaa=ba
bbaa=bb
bbab=ba
babaa=bab
babab=baa