#15433 ⟨a, b | aaa=aa, babab=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. ba2 ⇒ a2b [3]
3. a2ba ⇒ a2b [4]
4. a2b2a ⇒ a2b2 [5]
5. a2b3 ⇒ a2 [6]
6. b(ab)2 ⇒ a [2]
# ab:aaa=aa,babab=a ab
aaa=aa
baa=aab
aaba=aab
aabba=aabb
aabbb=aa
babab=a