#16441 ⟨a, b | aba=bb, aaab=ab⟩

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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. aba ⇒ b2 [1]
2. a3b ⇒ ab [2]
3. a2b2 ⇒ b2 [5]
4. b3a ⇒ ab3 [3]
5. b2a2b ⇒ b3 [4]
6. b2ab2 ⇒ ab3 [6]
7. ab5 ⇒ bab3 [7]
8. b7 ⇒ b4 [8]
# ab:aba=bb,aaab=ab ab
aba=bb
aaab=ab
aabb=bb
bbba=abbb
bbaab=bbb
bbabb=abbb
abbbbb=babbb
bbbbbbb=bbbb