#12545 ⟨a, b | abab=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. aba ⇒ bab2 [5]
4. ba2 ⇒ (ab2)2 [6]
5. (b2a)2 ⇒ ab3ab [8]
6. a2b2a ⇒ (bab)2 [9]
7. a3b3a ⇒ b3a [11]
# ab:abab=ba,bbbb=b b/a
bbbb=b
babbb=ba
aba=babb
baa=abbabb
bbabba=abbbab
aabba=babbab
aaabbba=bbba