#11369 ⟨a, b | aabab=a, bbbbb=1⟩

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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. a(ba)2 ⇒ a [7]
2. a(ab)2 ⇒ a [1]
3. ab3 ⇒ (a2b)2a [4]
4. ab(ba)2 ⇒ ab [6]
5. (a2b)3a ⇒ ab2 [5]
6. b5 ⇒ 1 [2]
# ab:aabab=a,bbbbb=1 a/b
ababa=a
aabab=a
abbb=aabaaba
abbaba=ab
aabaabaaba=abb
bbbbb=1