#6543 ⟨a, b | aaa=a, abab=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. a3 ⇒ a [1]
2. a2ba ⇒ ba [3]
3. bab ⇒ aba [5]
4. b2a ⇒ aba2b [6]
5. ba2b2 ⇒ ba2 [7]
# ab:aaa=a,abab=ba reversed:a/b
aaa=a
aaba=ba
bab=aba
bba=abaab
baabb=baa