#5038 ⟨a, b | aaa=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. a3 ⇒ a2 [1]
2. aba2 ⇒ ba2 [6]
3. (ba)2 ⇒ a2b2 [3]
4. ba2ba ⇒ a2b2 [9]
5. b2a2 ⇒ a2b2a [7]
6. bab2 ⇒ a [2]
7. a2b3a ⇒ ba2b2 [5]
8. ba2b2a ⇒ a2 [8]
9. a2b4 ⇒ ba2 [4]
# ab:aaa=aa,babb=a reversed:a/b
aaa=aa
abaa=baa
baba=aabb
baaba=aabb
bbaa=aabba
babb=a
aabbba=baabb
baabba=aa
aabbbb=baa