#4539 ⟨a, b | aaabbaaa=bab⟩

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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. a3b2a3 ⇒ bab [1]
2. bab3a3 ⇒ a3b3ab [2]
3. (ba)2b2a3 ⇒ a3b2(ab)2 [3]
4. baba2b2a3 ⇒ a3b2a(ab)2 [4]
# ab:aaabbaaa=bab ab
aaabbaaa=bab
babbbaaa=aaabbbab
bababbaaa=aaabbabab
babaabbaaa=aaabbaabab