#6686 ⟨a, b | aab=b, abba=aa⟩

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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. a2b ⇒ b [1]
2. b2a ⇒ a3 [3]
3. b3 ⇒ b [4]
4. a4 ⇒ a2 [5]
5. ba3 ⇒ ba [6]
# ab:aab=b,abba=aa ab
aab=b
bba=aaa
bbb=b
aaaa=aa
baaa=ba