#18734 ⟨a, b | aaa=a, abbbab=a⟩

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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. aba ⇒ a2b [10]
3. ab2a ⇒ a2b2 [11]
4. ab3a ⇒ a2b3 [12]
5. ab4 ⇒ a2 [8]
# ab:aaa=a,abbbab=a ab
aaa=a
aba=aab
abba=aabb
abbba=aabbb
abbbb=aa