#15975 ⟨a, b | aaa=aa, babb=ab⟩

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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. ba2b ⇒ a2b2 [4]
3. bab2 ⇒ ab [2]
4. a(ab)2 ⇒ a2b2 [5]
5. a2b3 ⇒ a2b [7]
6. b(ab)2 ⇒ a2b [3]
7. a2b2ab ⇒ a2b [8]
# ab:aaa=aa,babb=ab ab
aaa=aa
baab=aabb
babb=ab
aabab=aabb
aabbb=aab
babab=aab
aabbab=aab