#14836 ⟨a, b | abba=b, aaaab=b⟩

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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. b13 ⇒ b [14]
2. bab12 ⇒ ba [13]
3. b3a ⇒ ab3 [3]
4. ab2a ⇒ b [1]
5. ba2 ⇒ abab2 [15]
6. b(ba)2 ⇒ a2b [6]
7. a3b ⇒ b2a [4]
8. a(ba)2 ⇒ bab10 [10]
# ab:abba=b,aaaab=b b/a
bbbbbbbbbbbbb=b
babbbbbbbbbbbb=ba
bbba=abbb
abba=b
baa=ababb
bbaba=aab
aaab=bba
ababa=babbbbbbbbbb