#19271 ⟨a, b | aaa=a, ababb=ba⟩

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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. a2ba ⇒ ba [3]
3. bab2 ⇒ aba [4]
4. a2b2a ⇒ b2a [5]
5. ba2b2 ⇒ b3a2 [13]
6. (ba)3 ⇒ ab3a2 [15]
7. ab(ba)2 ⇒ b2aba2 [18]
8. b3aba ⇒ ab2a2 [17]
9. a2b3a ⇒ b3a [8]
10. ab4a ⇒ b4a2 [14]
11. b5a ⇒ ba [11]
# ab:aaa=a,ababb=ba reversed:ab
aaa=a
aaba=ba
babb=aba
aabba=bba
baabb=bbbaa
bababa=abbbaa
abbaba=bbabaa
bbbaba=abbaa
aabbba=bbba
abbbba=bbbbaa
bbbbba=ba