Exercice 31 modifié (corrigé de Michaël Périn)

On ajoute deux transitions à l'exercice 31 pour le compliquer : (4,b,4) et (2,epsilon,0)

A31 .pdf, .html

Éliminez les epsilon transitions

eps*(A31) .pdf, .html

Déterminisez l'automate obtenu

Det(eps*(A31))) .pdf, .html

Minimisez l'automate obtenu

Minimisation

  • initial partition = { {{},{0},{0,1,2,3,4}} }
  • splitting
    • states {} / {0} : NOT same accepting status So, {{},{0},{0,1,2,3,4}} is splitted into {{}} || {{0},{0,1,2,3,4}}
    • states {0} / {0,1,2,3,4} : NOT same behavior on symbol 'b' So, {{0},{0,1,2,3,4}} is splitted into {{0}} || {{0,1,2,3,4}}
  • final partition = { {{}} , {{0}} , {{0,1,2,3,4}} }

Min(Det(eps*(A31))) .pdf, .html

Created: 2014-10-06 Mon 13:07

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