#12448 ⟨a, b | aabb=aa, bbab=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. b2ab ⇒ a [2]
2. (ab)2 ⇒ b2a2 [3]
3. a2b2 ⇒ a2 [1]
4. a3b ⇒ a3 [4]
5. ab2a2 ⇒ a2ba [5]
6. aba2b ⇒ aba2 [9]
7. b4a2 ⇒ a2b [6]
8. b2a2ba ⇒ aba2 [8]
9. ab3a2 ⇒ b2a3 [7]
# ab:aabb=aa,bbab=a ba
bbab=a
abab=bbaa
aabb=aa
aaab=aaa
abbaa=aaba
abaab=abaa
bbbbaa=aab
bbaaba=abaa
abbbaa=bbaaa