#19812 ⟨a, b | aaa=a, abab=bba⟩

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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 ⇒ a [1]
2. b2a ⇒ (ab)2 [2]
3. (ab)2a2 ⇒ (ab)2 [3]
4. (aba)3ba ⇒ (aba)2b2 [4]
5. aba2(ba)4 ⇒ (aba)2b3 [5]
6. (aba)5b ⇒ (aba)2b4 [6]
# ab:aaa=a,abab=bba reversed:a/b
aaa=a
bba=abab
ababaa=abab
abaabaababa=abaababb
abaababababa=abaababbb
abaabaabaabaabab=abaababbbb