20.11.2014 Views

Limbaje Formale, Automate şi Compilatoare

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

<strong>Automate</strong> finite cu ǫ-tranziţii<br />

Extensia lui δ la cuvinte<br />

Cl(q)<br />

= {q ′ |q ′ ∈ Q, in graful automatului A exista un drum de la q la q’ de lungime k ≥ 0<br />

ale carui arce sunt etichetate cu ǫ}.<br />

q ∈ Cl(q)<br />

Dacă S ⊆ Q, atunci notăm:<br />

Cl(S) = ⋃ q∈S<br />

Cl(q)<br />

Extensia lui δ la cuvinte: ˆδ : Q ×Σ ∗ → 2 Q<br />

1 ˆδ(q,ǫ) = Cl(q),∀q ∈ Q;<br />

2 ˆδ(q, ua) = Cl(δ(ˆδ(q, u), a))), ∀q ∈ Q,∀u ∈ Σ ∗ ,∀a ∈ Σ.<br />

LFAC (2014-15) Curs 3 6 / 30

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!