#19813 ⟨a, b | aaa=a, abab=bbb⟩

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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. b8 ⇒ b5 [8]
2. bab4 ⇒ ab6 [6]
3. b3ab ⇒ ab4 [4]
4. a2b3 ⇒ b3 [3]
5. (ab)2 ⇒ b3 [2]
6. a3 ⇒ a [1]
# ab:aaa=a,abab=bbb b/a
bbbbbbbb=bbbbb
babbbb=abbbbbb
bbbab=abbbb
aabbb=bbb
abab=bbb
aaa=a