#5018 ⟨a, b | aaabaaa=baab⟩

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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. a3ba3 ⇒ ba2b [1]
2. ba2b2a3 ⇒ a3b2a2b [2]
3. ba(ab)2a3 ⇒ a3baba2b [3]
4. (ba2)3a ⇒ a(a2b)3 [4]
# ab:aaabaaa=baab ab
aaabaaa=baab
baabbaaa=aaabbaab
baababaaa=aaababaab
baabaabaaa=aaabaabaab