#3775 ⟨a, b | abababbaba=b⟩

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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. (ab)3b2 ⇒ (b2a)2ba [2]
2. (ab)3bab2 ⇒ (b(ba)2)2 [3]
3. (ab)3(ba)2 ⇒ b [1]
# ab:abababbaba=b ba
abababbb=bbabbaba
abababbabb=bbababbaba
abababbaba=b