#5120 ⟨a, b | aab=aa, bbab=a⟩

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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. a2b ⇒ a2 [1]
2. b2a2 ⇒ (ab)2 [3]
3. b2ab ⇒ a [2]
4. a(ba)2 ⇒ aba2 [6]
5. abab2 ⇒ (ab)2 [4]
# ab:aab=aa,bbab=a ab
aab=aa
bbaa=abab
bbab=a
ababa=abaa
ababb=abab