#12162 ⟨a, b | aaaa=aa, babb=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. a4 ⇒ a2 [1]
2. a2ba2 ⇒ ba2 [6]
3. ba3 ⇒ aba2 [12]
4. (ba)2 ⇒ a2b2 [3]
5. ba2ba ⇒ a3b2 [10]
6. b2a2 ⇒ a3b2a [9]
7. bab2 ⇒ a [2]
8. a2b3a ⇒ aba2b2 [13]
9. ba2b2a ⇒ a3 [7]
10. a2b4 ⇒ ba2 [4]
# ab:aaaa=aa,babb=a reversed:a/b
aaaa=aa
aabaa=baa
baaa=abaa
baba=aabb
baaba=aaabb
bbaa=aaabba
babb=a
aabbba=abaabb
baabba=aaa
aabbbb=baa