#12483 ⟨a, b | aabb=ba, bbbb=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. b4 ⇒ b [2]
2. bab3 ⇒ ba [4]
3. ba2 ⇒ b2ab [5]
4. a2b ⇒ bab2 [3]
5. b(ab)2 ⇒ b(ba)2 [6]
6. (bab)2a ⇒ b2(ab2)2 [7]
7. (bab)3 ⇒ (b2a)3 [8]
# ab:aabb=ba,bbbb=b reversed:b/a
bbbb=b
babbb=ba
baa=bbab
aab=babb
babab=bbaba
babbaba=bbabbabb
babbabbab=bbabbabba