#5215 ⟨a, b | aabbaab=baaa⟩

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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. ba3 ⇒ a2c [3]
2. b2a2b ⇒ c [2]
3. b2a2c ⇒ cba2b [4]
4. ba(ac)2 ⇒ ca3 [5]
5. cba2bac ⇒ bca3 [6]
6. ba2cabca3 ⇒ ca(a2b)2ac [7]
7. cba(ab)2ca3 ⇒ bca(a2b)2ac [8]
# ab:aabbaab=baaa reversed:bca bbaab=c morph:5/0
baaa=aac
bbaab=c
bbaac=cbaab
baacac=caaa
cbaabac=bcaaa
baacabcaaa=caaabaabac
cbaababcaaa=bcaaabaabac