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Considere a GLC G = ({S,T},{a,b}, S, {S → aSb|T, T → bTa| L }). Qual dos seguin...

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Considere a GLC G = ({S,T},{a,b}, S, {S aSb|T, TbTa|L}). Qual dos seguintes APs reconhece a linguagem L(G) pelo critério de pilha vazia?

M1=({q},{a,b}, {a,b,S,T}, q, S, Æ, d1)

(q,a,X)

d1(q,a,X)

(q, L, S)

{(q,aSb),(q,T)}

(q, L, T)

{(q,bTa),(q,L)}

(q,a,a)

{(q,L)}

(q,b,b)

{(q,L)}

Æ

M2=({q,p,h},{a,b}, {a,b,S,T,H}, p, H, {h}, d2)

(q,a,X)

d2(q,a,X)

(p, L, H)

{(q,SH)}

(q, L, H)

{(h, L, H)}

(q, L, S)

{(q,aSb),(q,T)}

(q, L, T)

{(q,bTa),(q,L)}

(q,a,a)

{(q,L)}

(q,b,b)

{(q,L)}

Æ

M3=({q},{a,b}, {a,b,S,T}, q, S, Æ, d3)

(q,a,X)

d3(q,a,X)

(q, L, S)

{(q,aS),(q,T)}

(q, L, T)

{(q,bbTa),(q,L)}

(q,a,a)

{(q,L)}

(q,b,b)

{(q,L)}

Æ

M4=({q,p,h},{a,b}, {a,b,S,T,H}, p, H, {h}, d4)

(q,a,X)

d4(q,a,X)

(p, L, H)

{(q,SH)}

(q, L, H)

{(h, L, H)}

(q, L, S)

{(q,aS),(q,T)}

(q, L, T)

{(q,bbTa),(q,L)}

(q,a,a)

{(q,L)}

(q,b,b)

{(q,L)}

Æ

 

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