#5042 ⟨a, b | aaababa=abab⟩

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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. a2ca ⇒ c [4]
2. c2a ⇒ a4c2 [8]
3. (ca)2 ⇒ a2c2 [5]
4. cb ⇒ a3bc [7]
5. cab ⇒ abc [6]
6. (ab)2 ⇒ c [2]
# ab:aaababa=abab reversed:a/cb abab=c magic:0
aaca=c
cca=aaaacc
caca=aacc
cb=aaabc
cab=abc
abab=c