#6544 ⟨a, b | aaa=a, abab=bb⟩

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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. a2b2 ⇒ b2 [3]
3. (ab)2 ⇒ b2 [2]
4. b2ab ⇒ ab3 [4]
5. bab3 ⇒ ab4 [5]
# ab:aaa=a,abab=bb ab
aaa=a
aabb=bb
abab=bb
bbab=abbb
babbb=abbbb