#4277 ⟨a, b | abaabbaba=ba⟩

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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. aba2c2 ⇒ c [5]
2. b2a ⇒ c [2]
3. b2c ⇒ cba2c2 [6]
4. aba2bc ⇒ ba2cba [9]
5. aba2cba ⇒ ba [3]
6. aba2cbc ⇒ bc [7]
7. cba2bc ⇒ bcacba [10]
8. cba2cba ⇒ bc [4]
9. cba2cbc ⇒ bcba2c2 [8]
# ab:abaabbaba=ba ac/b bba=c morph:3/1
abaacc=c
bba=c
bbc=cbaacc
abaabc=baacba
abaacba=ba
abaacbc=bc
cbaabc=bcacba
cbaacba=bc
cbaacbc=bcbaacc