#1910 ⟨a, b | aaabbaaa=bb⟩

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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. b4a3 ⇒ a3b4 [2]
2. a3b2a3 ⇒ b2 [1]
3. b2ab2a3 ⇒ a2(ab2)2 [3]
4. (b2a2)2a ⇒ a(a2b2)2 [4]
# ab:aaabbaaa=bb ab
bbbbaaa=aaabbbb
aaabbaaa=bb
bbabbaaa=aaabbabb
bbaabbaaa=aaabbaabb