#25210 ⟨a, b | aa=a, abbba=bab⟩

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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. a2 ⇒ a [1]
2. (ab)2 ⇒ bab [3]
3. (ba)2 ⇒ bab [4]
4. b2ab ⇒ bab2 [6]
5. ab3a ⇒ bab [2]
6. bab2a ⇒ bab2 [7]
7. bab3 ⇒ bab2 [8]
# ab:aa=a,abbba=bab ab
aa=a
abab=bab
baba=bab
bbab=babb
abbba=bab
babba=babb
babbb=babb