#12534 ⟨a, b | abab=ba, abbb=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. ab3 ⇒ a [2]
2. b4a ⇒ ba [10]
3. aba ⇒ bab2 [3]
4. ba2 ⇒ (ab2)2 [4]
5. (b2a)2 ⇒ a2b [6]
6. a2b2a ⇒ (bab)2 [7]
7. a4 ⇒ b3a [9]
# ab:abab=ba,abbb=a b/a
abbb=a
bbbba=ba
aba=babb
baa=abbabb
bbabba=aab
aabba=babbab
aaaa=bbba