#21741 ⟨a, b | aaa=1, abbabbb=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. a3 ⇒ 1 [1]
2. (bab)2 ⇒ (ab2)2 [9]
3. b2ab3 ⇒ a2b [3]
4. bab2a2b ⇒ ab2(ab)2 [7]
5. b2aba2b ⇒ a2bab3 [5]
# ab:aaa=1,abbabbb=b ab
aaa=1
babbab=abbabb
bbabbb=aab
babbaab=abbabab
bbabaab=aababbb