#4280 ⟨a, b | abaabbbba=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. c2a ⇒ cac [10]
2. (ca)2 ⇒ c [7]
3. abca ⇒ abac [8]
4. abaca ⇒ ab [3]
5. cb ⇒ abac2 [4]
6. ab2ca ⇒ ab2ac [9]
7. ab2aca ⇒ ab2 [5]
8. ab3ca ⇒ ab3ac [11]
9. ab3aca ⇒ ab3 [6]
10. ab4 ⇒ c [2]
# ab:abaabbbba=ab ac/b abbbb=c morph:5/0
cca=cac
caca=c
abca=abac
abaca=ab
cb=abacc
abbca=abbac
abbaca=abb
abbbca=abbbac
abbbaca=abbb
abbbb=c